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Finding the Fourth Proportional to 177.24, 264.48 and 159.04

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Solution

The fourth proportional to 177.24, 264.48 and 159.04 is: 237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.24 : 264.48 = 159.04 : x
  2. Step 2: Convert to fraction form
    177.24/264.48 = 159.04/x
  3. Step 3: Cross multiply
    177.24x = 264.48 × 159.04
  4. Step 4: Simplify right side
    177.24x = 42,062.90
  5. Step 5: Solve for x
    x = 42,062.90/177.24
  6. Step 6: Final answer
    x = 237.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.