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Finding the Fourth Proportional to 257.11, 385.65 and 74.50

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Solution

The fourth proportional to 257.11, 385.65 and 74.50 is: 111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.11 : 385.65 = 74.50 : x
  2. Step 2: Convert to fraction form
    257.11/385.65 = 74.50/x
  3. Step 3: Cross multiply
    257.11x = 385.65 × 74.50
  4. Step 4: Simplify right side
    257.11x = 28,729.96
  5. Step 5: Solve for x
    x = 28,729.96/257.11
  6. Step 6: Final answer
    x = 111.74

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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.