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Finding the Fourth Proportional to 257.13, 354.78 and 146.60

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Solution

The fourth proportional to 257.13, 354.78 and 146.60 is: 202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.13 : 354.78 = 146.60 : x
  2. Step 2: Convert to fraction form
    257.13/354.78 = 146.60/x
  3. Step 3: Cross multiply
    257.13x = 354.78 × 146.60
  4. Step 4: Simplify right side
    257.13x = 52,010.30
  5. Step 5: Solve for x
    x = 52,010.30/257.13
  6. Step 6: Final answer
    x = 202.27

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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.