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Finding the Fourth Proportional to 180.64, 269.72 and 159.04

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Solution

The fourth proportional to 180.64, 269.72 and 159.04 is: 237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.64 : 269.72 = 159.04 : x
  2. Step 2: Convert to fraction form
    180.64/269.72 = 159.04/x
  3. Step 3: Cross multiply
    180.64x = 269.72 × 159.04
  4. Step 4: Simplify right side
    180.64x = 42,896.27
  5. Step 5: Solve for x
    x = 42,896.27/180.64
  6. Step 6: Final answer
    x = 237.47

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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.