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Finding the Fourth Proportional to 257.26, 385.42 and 148.82

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Solution

The fourth proportional to 257.26, 385.42 and 148.82 is: 222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.26 : 385.42 = 148.82 : x
  2. Step 2: Convert to fraction form
    257.26/385.42 = 148.82/x
  3. Step 3: Cross multiply
    257.26x = 385.42 × 148.82
  4. Step 4: Simplify right side
    257.26x = 57,358.20
  5. Step 5: Solve for x
    x = 57,358.20/257.26
  6. Step 6: Final answer
    x = 222.96

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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.