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Finding the Fourth Proportional to 153.21, 229.97 and 135.97

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Solution

The fourth proportional to 153.21, 229.97 and 135.97 is: 204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.21 : 229.97 = 135.97 : x
  2. Step 2: Convert to fraction form
    153.21/229.97 = 135.97/x
  3. Step 3: Cross multiply
    153.21x = 229.97 × 135.97
  4. Step 4: Simplify right side
    153.21x = 31,269.02
  5. Step 5: Solve for x
    x = 31,269.02/153.21
  6. Step 6: Final answer
    x = 204.09

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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.