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Finding the Fourth Proportional to 557.72, 836.49 and 167.78

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Solution

The fourth proportional to 557.72, 836.49 and 167.78 is: 251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.72 : 836.49 = 167.78 : x
  2. Step 2: Convert to fraction form
    557.72/836.49 = 167.78/x
  3. Step 3: Cross multiply
    557.72x = 836.49 × 167.78
  4. Step 4: Simplify right side
    557.72x = 140,346.29
  5. Step 5: Solve for x
    x = 140,346.29/557.72
  6. Step 6: Final answer
    x = 251.64

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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.