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Finding the Fourth Proportional to 153.80, 230.82 and 153.14

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Solution

The fourth proportional to 153.80, 230.82 and 153.14 is: 229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.80 : 230.82 = 153.14 : x
  2. Step 2: Convert to fraction form
    153.80/230.82 = 153.14/x
  3. Step 3: Cross multiply
    153.80x = 230.82 × 153.14
  4. Step 4: Simplify right side
    153.80x = 35,347.77
  5. Step 5: Solve for x
    x = 35,347.77/153.80
  6. Step 6: Final answer
    x = 229.83

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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.