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Finding the Fourth Proportional to 308.86, 463.16 and 111.14

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Solution

The fourth proportional to 308.86, 463.16 and 111.14 is: 166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.86 : 463.16 = 111.14 : x
  2. Step 2: Convert to fraction form
    308.86/463.16 = 111.14/x
  3. Step 3: Cross multiply
    308.86x = 463.16 × 111.14
  4. Step 4: Simplify right side
    308.86x = 51,475.60
  5. Step 5: Solve for x
    x = 51,475.60/308.86
  6. Step 6: Final answer
    x = 166.66

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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.