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Finding the Fourth Proportional to 306.84, 460.31 and 124.13

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Solution

The fourth proportional to 306.84, 460.31 and 124.13 is: 186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.84 : 460.31 = 124.13 : x
  2. Step 2: Convert to fraction form
    306.84/460.31 = 124.13/x
  3. Step 3: Cross multiply
    306.84x = 460.31 × 124.13
  4. Step 4: Simplify right side
    306.84x = 57,138.28
  5. Step 5: Solve for x
    x = 57,138.28/306.84
  6. Step 6: Final answer
    x = 186.22

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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.