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Finding the Fourth Proportional to 179.90, 267.92 and 178.86

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Solution

The fourth proportional to 179.90, 267.92 and 178.86 is: 266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.90 : 267.92 = 178.86 : x
  2. Step 2: Convert to fraction form
    179.90/267.92 = 178.86/x
  3. Step 3: Cross multiply
    179.90x = 267.92 × 178.86
  4. Step 4: Simplify right side
    179.90x = 47,920.17
  5. Step 5: Solve for x
    x = 47,920.17/179.90
  6. Step 6: Final answer
    x = 266.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.