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Finding the Fourth Proportional to 178.20, 267.71 and 147.83

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Solution

The fourth proportional to 178.20, 267.71 and 147.83 is: 222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.20 : 267.71 = 147.83 : x
  2. Step 2: Convert to fraction form
    178.20/267.71 = 147.83/x
  3. Step 3: Cross multiply
    178.20x = 267.71 × 147.83
  4. Step 4: Simplify right side
    178.20x = 39,573.49
  5. Step 5: Solve for x
    x = 39,573.49/178.20
  6. Step 6: Final answer
    x = 222.07

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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.