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Finding the Fourth Proportional to 257.13, 354.85 and 146.61

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Solution

The fourth proportional to 257.13, 354.85 and 146.61 is: 202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.13 : 354.85 = 146.61 : x
  2. Step 2: Convert to fraction form
    257.13/354.85 = 146.61/x
  3. Step 3: Cross multiply
    257.13x = 354.85 × 146.61
  4. Step 4: Simplify right side
    257.13x = 52,024.19
  5. Step 5: Solve for x
    x = 52,024.19/257.13
  6. Step 6: Final answer
    x = 202.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.