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Finding the Fourth Proportional to 308.13, 461.90 and 102.59

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Solution

The fourth proportional to 308.13, 461.90 and 102.59 is: 153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.13 : 461.90 = 102.59 : x
  2. Step 2: Convert to fraction form
    308.13/461.90 = 102.59/x
  3. Step 3: Cross multiply
    308.13x = 461.90 × 102.59
  4. Step 4: Simplify right side
    308.13x = 47,386.96
  5. Step 5: Solve for x
    x = 47,386.96/308.13
  6. Step 6: Final answer
    x = 153.79

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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.