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Finding the Fourth Proportional to 308.54, 462.42 and 146

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Solution

The fourth proportional to 308.54, 462.42 and 146 is: 218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.54 : 462.42 = 146 : x
  2. Step 2: Convert to fraction form
    308.54/462.42 = 146/x
  3. Step 3: Cross multiply
    308.54x = 462.42 × 146
  4. Step 4: Simplify right side
    308.54x = 67,513.32
  5. Step 5: Solve for x
    x = 67,513.32/308.54
  6. Step 6: Final answer
    x = 218.82

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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.