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Finding the Fourth Proportional to 178.22, 266.96 and 132.50

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Solution

The fourth proportional to 178.22, 266.96 and 132.50 is: 198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.22 : 266.96 = 132.50 : x
  2. Step 2: Convert to fraction form
    178.22/266.96 = 132.50/x
  3. Step 3: Cross multiply
    178.22x = 266.96 × 132.50
  4. Step 4: Simplify right side
    178.22x = 35,372.20
  5. Step 5: Solve for x
    x = 35,372.20/178.22
  6. Step 6: Final answer
    x = 198.47

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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.