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Finding the Fourth Proportional to 257.76, 386.84 and 142.24

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Solution

The fourth proportional to 257.76, 386.84 and 142.24 is: 213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.76 : 386.84 = 142.24 : x
  2. Step 2: Convert to fraction form
    257.76/386.84 = 142.24/x
  3. Step 3: Cross multiply
    257.76x = 386.84 × 142.24
  4. Step 4: Simplify right side
    257.76x = 55,024.12
  5. Step 5: Solve for x
    x = 55,024.12/257.76
  6. Step 6: Final answer
    x = 213.47

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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.