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Finding the Fourth Proportional to 308.32, 462.51 and 97.23

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Solution

The fourth proportional to 308.32, 462.51 and 97.23 is: 145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.32 : 462.51 = 97.23 : x
  2. Step 2: Convert to fraction form
    308.32/462.51 = 97.23/x
  3. Step 3: Cross multiply
    308.32x = 462.51 × 97.23
  4. Step 4: Simplify right side
    308.32x = 44,969.36
  5. Step 5: Solve for x
    x = 44,969.36/308.32
  6. Step 6: Final answer
    x = 145.85

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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.