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Finding the Fourth Proportional to 177.26, 264.48 and 159.02

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Solution

The fourth proportional to 177.26, 264.48 and 159.02 is: 237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.26 : 264.48 = 159.02 : x
  2. Step 2: Convert to fraction form
    177.26/264.48 = 159.02/x
  3. Step 3: Cross multiply
    177.26x = 264.48 × 159.02
  4. Step 4: Simplify right side
    177.26x = 42,057.61
  5. Step 5: Solve for x
    x = 42,057.61/177.26
  6. Step 6: Final answer
    x = 237.27

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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.