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Finding the Fourth Proportional to 308.65, 462.67 and 144.29

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Solution

The fourth proportional to 308.65, 462.67 and 144.29 is: 216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.65 : 462.67 = 144.29 : x
  2. Step 2: Convert to fraction form
    308.65/462.67 = 144.29/x
  3. Step 3: Cross multiply
    308.65x = 462.67 × 144.29
  4. Step 4: Simplify right side
    308.65x = 66,758.65
  5. Step 5: Solve for x
    x = 66,758.65/308.65
  6. Step 6: Final answer
    x = 216.29

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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.