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Finding the Fourth Proportional to 144.81, 217.10 and 116.25

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Solution

The fourth proportional to 144.81, 217.10 and 116.25 is: 174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.81 : 217.10 = 116.25 : x
  2. Step 2: Convert to fraction form
    144.81/217.10 = 116.25/x
  3. Step 3: Cross multiply
    144.81x = 217.10 × 116.25
  4. Step 4: Simplify right side
    144.81x = 25,237.29
  5. Step 5: Solve for x
    x = 25,237.29/144.81
  6. Step 6: Final answer
    x = 174.28

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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.