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Finding the Fourth Proportional to 308.37, 462.66 and 146.16

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Solution

The fourth proportional to 308.37, 462.66 and 146.16 is: 219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.37 : 462.66 = 146.16 : x
  2. Step 2: Convert to fraction form
    308.37/462.66 = 146.16/x
  3. Step 3: Cross multiply
    308.37x = 462.66 × 146.16
  4. Step 4: Simplify right side
    308.37x = 67,622.39
  5. Step 5: Solve for x
    x = 67,622.39/308.37
  6. Step 6: Final answer
    x = 219.29

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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.