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Finding the Fourth Proportional to 178.98, 267.02 and 176.68

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Solution

The fourth proportional to 178.98, 267.02 and 176.68 is: 263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.98 : 267.02 = 176.68 : x
  2. Step 2: Convert to fraction form
    178.98/267.02 = 176.68/x
  3. Step 3: Cross multiply
    178.98x = 267.02 × 176.68
  4. Step 4: Simplify right side
    178.98x = 47,177.70
  5. Step 5: Solve for x
    x = 47,177.70/178.98
  6. Step 6: Final answer
    x = 263.59

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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.