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Finding the Fourth Proportional to 557.71, 836.57 and 146.83

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Solution

The fourth proportional to 557.71, 836.57 and 146.83 is: 220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.71 : 836.57 = 146.83 : x
  2. Step 2: Convert to fraction form
    557.71/836.57 = 146.83/x
  3. Step 3: Cross multiply
    557.71x = 836.57 × 146.83
  4. Step 4: Simplify right side
    557.71x = 122,833.57
  5. Step 5: Solve for x
    x = 122,833.57/557.71
  6. Step 6: Final answer
    x = 220.25

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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.