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Finding the Fourth Proportional to 153.41, 229.80 and 134.17

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Solution

The fourth proportional to 153.41, 229.80 and 134.17 is: 200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.41 : 229.80 = 134.17 : x
  2. Step 2: Convert to fraction form
    153.41/229.80 = 134.17/x
  3. Step 3: Cross multiply
    153.41x = 229.80 × 134.17
  4. Step 4: Simplify right side
    153.41x = 30,832.19
  5. Step 5: Solve for x
    x = 30,832.19/153.41
  6. Step 6: Final answer
    x = 200.99

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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.