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Finding the Fourth Proportional to 178.34, 267.26 and 75.57

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Solution

The fourth proportional to 178.34, 267.26 and 75.57 is: 113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.34 : 267.26 = 75.57 : x
  2. Step 2: Convert to fraction form
    178.34/267.26 = 75.57/x
  3. Step 3: Cross multiply
    178.34x = 267.26 × 75.57
  4. Step 4: Simplify right side
    178.34x = 20,196.46
  5. Step 5: Solve for x
    x = 20,196.46/178.34
  6. Step 6: Final answer
    x = 113.25

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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.