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Finding the Fourth Proportional to 257.32, 355.13 and 146.80

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Solution

The fourth proportional to 257.32, 355.13 and 146.80 is: 202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.32 : 355.13 = 146.80 : x
  2. Step 2: Convert to fraction form
    257.32/355.13 = 146.80/x
  3. Step 3: Cross multiply
    257.32x = 355.13 × 146.80
  4. Step 4: Simplify right side
    257.32x = 52,133.89
  5. Step 5: Solve for x
    x = 52,133.89/257.32
  6. Step 6: Final answer
    x = 202.61

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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.