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Finding the Fourth Proportional to 153.80, 230.14 and 129.75

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Solution

The fourth proportional to 153.80, 230.14 and 129.75 is: 194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.80 : 230.14 = 129.75 : x
  2. Step 2: Convert to fraction form
    153.80/230.14 = 129.75/x
  3. Step 3: Cross multiply
    153.80x = 230.14 × 129.75
  4. Step 4: Simplify right side
    153.80x = 29,861.26
  5. Step 5: Solve for x
    x = 29,861.26/153.80
  6. Step 6: Final answer
    x = 194.16

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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.