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Finding the Fourth Proportional to 257.46, 386.18 and 65.08

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Solution

The fourth proportional to 257.46, 386.18 and 65.08 is: 97.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.46 : 386.18 = 65.08 : x
  2. Step 2: Convert to fraction form
    257.46/386.18 = 65.08/x
  3. Step 3: Cross multiply
    257.46x = 386.18 × 65.08
  4. Step 4: Simplify right side
    257.46x = 25,132.59
  5. Step 5: Solve for x
    x = 25,132.59/257.46
  6. Step 6: Final answer
    x = 97.62

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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.