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Finding the Fourth Proportional to 178.31, 267.59 and 137.22

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Solution

The fourth proportional to 178.31, 267.59 and 137.22 is: 205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.31 : 267.59 = 137.22 : x
  2. Step 2: Convert to fraction form
    178.31/267.59 = 137.22/x
  3. Step 3: Cross multiply
    178.31x = 267.59 × 137.22
  4. Step 4: Simplify right side
    178.31x = 36,718.01
  5. Step 5: Solve for x
    x = 36,718.01/178.31
  6. Step 6: Final answer
    x = 205.92

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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.