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Finding the Fourth Proportional to 306.88, 460.19 and 162.57

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Solution

The fourth proportional to 306.88, 460.19 and 162.57 is: 243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.88 : 460.19 = 162.57 : x
  2. Step 2: Convert to fraction form
    306.88/460.19 = 162.57/x
  3. Step 3: Cross multiply
    306.88x = 460.19 × 162.57
  4. Step 4: Simplify right side
    306.88x = 74,809.97
  5. Step 5: Solve for x
    x = 74,809.97/306.88
  6. Step 6: Final answer
    x = 243.78

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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.