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Finding the Fourth Proportional to 178.04, 265.96 and 132.14

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Solution

The fourth proportional to 178.04, 265.96 and 132.14 is: 197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.04 : 265.96 = 132.14 : x
  2. Step 2: Convert to fraction form
    178.04/265.96 = 132.14/x
  3. Step 3: Cross multiply
    178.04x = 265.96 × 132.14
  4. Step 4: Simplify right side
    178.04x = 35,143.95
  5. Step 5: Solve for x
    x = 35,143.95/178.04
  6. Step 6: Final answer
    x = 197.39

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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.