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Finding the Fourth Proportional to 153.76, 230.74 and 133.44

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Solution

The fourth proportional to 153.76, 230.74 and 133.44 is: 200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.76 : 230.74 = 133.44 : x
  2. Step 2: Convert to fraction form
    153.76/230.74 = 133.44/x
  3. Step 3: Cross multiply
    153.76x = 230.74 × 133.44
  4. Step 4: Simplify right side
    153.76x = 30,789.95
  5. Step 5: Solve for x
    x = 30,789.95/153.76
  6. Step 6: Final answer
    x = 200.25

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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.