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Finding the Fourth Proportional to 177.30, 244.71 and 120.66

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Solution

The fourth proportional to 177.30, 244.71 and 120.66 is: 166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.30 : 244.71 = 120.66 : x
  2. Step 2: Convert to fraction form
    177.30/244.71 = 120.66/x
  3. Step 3: Cross multiply
    177.30x = 244.71 × 120.66
  4. Step 4: Simplify right side
    177.30x = 29,526.71
  5. Step 5: Solve for x
    x = 29,526.71/177.30
  6. Step 6: Final answer
    x = 166.54

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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.