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Finding the Fourth Proportional to 153.30, 230.13 and 129.18

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Solution

The fourth proportional to 153.30, 230.13 and 129.18 is: 193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.30 : 230.13 = 129.18 : x
  2. Step 2: Convert to fraction form
    153.30/230.13 = 129.18/x
  3. Step 3: Cross multiply
    153.30x = 230.13 × 129.18
  4. Step 4: Simplify right side
    153.30x = 29,728.19
  5. Step 5: Solve for x
    x = 29,728.19/153.30
  6. Step 6: Final answer
    x = 193.92

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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.