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Finding the Fourth Proportional to 257.45, 385.76 and 148.97

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Solution

The fourth proportional to 257.45, 385.76 and 148.97 is: 223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.45 : 385.76 = 148.97 : x
  2. Step 2: Convert to fraction form
    257.45/385.76 = 148.97/x
  3. Step 3: Cross multiply
    257.45x = 385.76 × 148.97
  4. Step 4: Simplify right side
    257.45x = 57,468.00
  5. Step 5: Solve for x
    x = 57,468.00/257.45
  6. Step 6: Final answer
    x = 223.22

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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.