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Finding the Fourth Proportional to 177.65, 267.33 and 160.86

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Solution

The fourth proportional to 177.65, 267.33 and 160.86 is: 242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.65 : 267.33 = 160.86 : x
  2. Step 2: Convert to fraction form
    177.65/267.33 = 160.86/x
  3. Step 3: Cross multiply
    177.65x = 267.33 × 160.86
  4. Step 4: Simplify right side
    177.65x = 43,002.70
  5. Step 5: Solve for x
    x = 43,002.70/177.65
  6. Step 6: Final answer
    x = 242.06

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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.