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Finding the Fourth Proportional to 306.88, 460.33 and 144.52

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Solution

The fourth proportional to 306.88, 460.33 and 144.52 is: 216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.88 : 460.33 = 144.52 : x
  2. Step 2: Convert to fraction form
    306.88/460.33 = 144.52/x
  3. Step 3: Cross multiply
    306.88x = 460.33 × 144.52
  4. Step 4: Simplify right side
    306.88x = 66,525.38
  5. Step 5: Solve for x
    x = 66,525.38/306.88
  6. Step 6: Final answer
    x = 216.78

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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.