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Finding the Fourth Proportional to 235.38, 353.25 and 180.70

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Solution

The fourth proportional to 235.38, 353.25 and 180.70 is: 271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.38 : 353.25 = 180.70 : x
  2. Step 2: Convert to fraction form
    235.38/353.25 = 180.70/x
  3. Step 3: Cross multiply
    235.38x = 353.25 × 180.70
  4. Step 4: Simplify right side
    235.38x = 63,832.28
  5. Step 5: Solve for x
    x = 63,832.28/235.38
  6. Step 6: Final answer
    x = 271.19

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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.