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Finding the Fourth Proportional to 308.35, 462.43 and 146.04

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Solution

The fourth proportional to 308.35, 462.43 and 146.04 is: 219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.35 : 462.43 = 146.04 : x
  2. Step 2: Convert to fraction form
    308.35/462.43 = 146.04/x
  3. Step 3: Cross multiply
    308.35x = 462.43 × 146.04
  4. Step 4: Simplify right side
    308.35x = 67,533.28
  5. Step 5: Solve for x
    x = 67,533.28/308.35
  6. Step 6: Final answer
    x = 219.02

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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.