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Finding the Fourth Proportional to 257.31, 355.08 and 146.78

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Solution

The fourth proportional to 257.31, 355.08 and 146.78 is: 202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.31 : 355.08 = 146.78 : x
  2. Step 2: Convert to fraction form
    257.31/355.08 = 146.78/x
  3. Step 3: Cross multiply
    257.31x = 355.08 × 146.78
  4. Step 4: Simplify right side
    257.31x = 52,116.87
  5. Step 5: Solve for x
    x = 52,116.87/257.31
  6. Step 6: Final answer
    x = 202.55

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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.