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Finding the Fourth Proportional to 557.60, 836.10 and 187.27

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Solution

The fourth proportional to 557.60, 836.10 and 187.27 is: 280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.60 : 836.10 = 187.27 : x
  2. Step 2: Convert to fraction form
    557.60/836.10 = 187.27/x
  3. Step 3: Cross multiply
    557.60x = 836.10 × 187.27
  4. Step 4: Simplify right side
    557.60x = 156,572.27
  5. Step 5: Solve for x
    x = 156,572.27/557.60
  6. Step 6: Final answer
    x = 280.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.