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Finding the Fourth Proportional to 423.48, 634.85 and 180.18

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Solution

The fourth proportional to 423.48, 634.85 and 180.18 is: 270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.48 : 634.85 = 180.18 : x
  2. Step 2: Convert to fraction form
    423.48/634.85 = 180.18/x
  3. Step 3: Cross multiply
    423.48x = 634.85 × 180.18
  4. Step 4: Simplify right side
    423.48x = 114,387.72
  5. Step 5: Solve for x
    x = 114,387.72/423.48
  6. Step 6: Final answer
    x = 270.11

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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.