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Finding the Fourth Proportional to 308.47, 462.85 and 160.33

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Solution

The fourth proportional to 308.47, 462.85 and 160.33 is: 240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.47 : 462.85 = 160.33 : x
  2. Step 2: Convert to fraction form
    308.47/462.85 = 160.33/x
  3. Step 3: Cross multiply
    308.47x = 462.85 × 160.33
  4. Step 4: Simplify right side
    308.47x = 74,208.74
  5. Step 5: Solve for x
    x = 74,208.74/308.47
  6. Step 6: Final answer
    x = 240.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.