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Finding the Fourth Proportional to 306.84, 460.03 and 160.41

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Solution

The fourth proportional to 306.84, 460.03 and 160.41 is: 240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.84 : 460.03 = 160.41 : x
  2. Step 2: Convert to fraction form
    306.84/460.03 = 160.41/x
  3. Step 3: Cross multiply
    306.84x = 460.03 × 160.41
  4. Step 4: Simplify right side
    306.84x = 73,791.16
  5. Step 5: Solve for x
    x = 73,791.16/306.84
  6. Step 6: Final answer
    x = 240.49

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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.