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Finding the Fourth Proportional to 176.29, 243.35 and 132.69

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Solution

The fourth proportional to 176.29, 243.35 and 132.69 is: 183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.29 : 243.35 = 132.69 : x
  2. Step 2: Convert to fraction form
    176.29/243.35 = 132.69/x
  3. Step 3: Cross multiply
    176.29x = 243.35 × 132.69
  4. Step 4: Simplify right side
    176.29x = 32,290.11
  5. Step 5: Solve for x
    x = 32,290.11/176.29
  6. Step 6: Final answer
    x = 183.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.