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Finding the Fourth Proportional to 257.23, 385.82 and 64.86

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Solution

The fourth proportional to 257.23, 385.82 and 64.86 is: 97.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.23 : 385.82 = 64.86 : x
  2. Step 2: Convert to fraction form
    257.23/385.82 = 64.86/x
  3. Step 3: Cross multiply
    257.23x = 385.82 × 64.86
  4. Step 4: Simplify right side
    257.23x = 25,024.29
  5. Step 5: Solve for x
    x = 25,024.29/257.23
  6. Step 6: Final answer
    x = 97.28

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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.