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Finding the Fourth Proportional to 308.16, 462.42 and 180

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Solution

The fourth proportional to 308.16, 462.42 and 180 is: 270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.16 : 462.42 = 180 : x
  2. Step 2: Convert to fraction form
    308.16/462.42 = 180/x
  3. Step 3: Cross multiply
    308.16x = 462.42 × 180
  4. Step 4: Simplify right side
    308.16x = 83,235.60
  5. Step 5: Solve for x
    x = 83,235.60/308.16
  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.