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Finding the Fourth Proportional to 176.93, 244.08 and 132.74

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Solution

The fourth proportional to 176.93, 244.08 and 132.74 is: 183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.93 : 244.08 = 132.74 : x
  2. Step 2: Convert to fraction form
    176.93/244.08 = 132.74/x
  3. Step 3: Cross multiply
    176.93x = 244.08 × 132.74
  4. Step 4: Simplify right side
    176.93x = 32,397.96
  5. Step 5: Solve for x
    x = 32,397.96/176.93
  6. Step 6: Final answer
    x = 183.12

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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.