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Finding the Fourth Proportional to 308.32, 462.61 and 164

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Solution

The fourth proportional to 308.32, 462.61 and 164 is: 246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.32 : 462.61 = 164 : x
  2. Step 2: Convert to fraction form
    308.32/462.61 = 164/x
  3. Step 3: Cross multiply
    308.32x = 462.61 × 164
  4. Step 4: Simplify right side
    308.32x = 75,868.04
  5. Step 5: Solve for x
    x = 75,868.04/308.32
  6. Step 6: Final answer
    x = 246.07

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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.