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Finding the Fourth Proportional to 308.64, 462.95 and 116.25

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Solution

The fourth proportional to 308.64, 462.95 and 116.25 is: 174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.64 : 462.95 = 116.25 : x
  2. Step 2: Convert to fraction form
    308.64/462.95 = 116.25/x
  3. Step 3: Cross multiply
    308.64x = 462.95 × 116.25
  4. Step 4: Simplify right side
    308.64x = 53,817.36
  5. Step 5: Solve for x
    x = 53,817.36/308.64
  6. Step 6: Final answer
    x = 174.37

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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.