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Finding the Fourth Proportional to 177.33, 265.98 and 119.66

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Solution

The fourth proportional to 177.33, 265.98 and 119.66 is: 179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.33 : 265.98 = 119.66 : x
  2. Step 2: Convert to fraction form
    177.33/265.98 = 119.66/x
  3. Step 3: Cross multiply
    177.33x = 265.98 × 119.66
  4. Step 4: Simplify right side
    177.33x = 31,826.29
  5. Step 5: Solve for x
    x = 31,826.29/177.33
  6. Step 6: Final answer
    x = 179.47

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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.