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Finding the Fourth Proportional to 267.71, 401.52 and 75.34

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Solution

The fourth proportional to 267.71, 401.52 and 75.34 is: 113.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.71 : 401.52 = 75.34 : x
  2. Step 2: Convert to fraction form
    267.71/401.52 = 75.34/x
  3. Step 3: Cross multiply
    267.71x = 401.52 × 75.34
  4. Step 4: Simplify right side
    267.71x = 30,250.52
  5. Step 5: Solve for x
    x = 30,250.52/267.71
  6. Step 6: Final answer
    x = 113.00

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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.