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Finding the Fourth Proportional to 257.60, 386.36 and 74.98

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Solution

The fourth proportional to 257.60, 386.36 and 74.98 is: 112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.60 : 386.36 = 74.98 : x
  2. Step 2: Convert to fraction form
    257.60/386.36 = 74.98/x
  3. Step 3: Cross multiply
    257.60x = 386.36 × 74.98
  4. Step 4: Simplify right side
    257.60x = 28,966.97
  5. Step 5: Solve for x
    x = 28,966.97/257.60
  6. Step 6: Final answer
    x = 112.45

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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.