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Finding the Fourth Proportional to 178.49, 267.91 and 97.22

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Solution

The fourth proportional to 178.49, 267.91 and 97.22 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.49 : 267.91 = 97.22 : x
  2. Step 2: Convert to fraction form
    178.49/267.91 = 97.22/x
  3. Step 3: Cross multiply
    178.49x = 267.91 × 97.22
  4. Step 4: Simplify right side
    178.49x = 26,046.64
  5. Step 5: Solve for x
    x = 26,046.64/178.49
  6. Step 6: Final answer
    x = 145.93

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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.