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Finding the Fourth Proportional to 177.67, 265.16 and 166.12

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Solution

The fourth proportional to 177.67, 265.16 and 166.12 is: 247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.67 : 265.16 = 166.12 : x
  2. Step 2: Convert to fraction form
    177.67/265.16 = 166.12/x
  3. Step 3: Cross multiply
    177.67x = 265.16 × 166.12
  4. Step 4: Simplify right side
    177.67x = 44,048.38
  5. Step 5: Solve for x
    x = 44,048.38/177.67
  6. Step 6: Final answer
    x = 247.92

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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.