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Finding the Fourth Proportional to 308.56, 462.16 and 146.20

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Solution

The fourth proportional to 308.56, 462.16 and 146.20 is: 218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.56 : 462.16 = 146.20 : x
  2. Step 2: Convert to fraction form
    308.56/462.16 = 146.20/x
  3. Step 3: Cross multiply
    308.56x = 462.16 × 146.20
  4. Step 4: Simplify right side
    308.56x = 67,567.79
  5. Step 5: Solve for x
    x = 67,567.79/308.56
  6. Step 6: Final answer
    x = 218.98

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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.