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Finding the Fourth Proportional to 153.74, 229.61 and 131.96

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Solution

The fourth proportional to 153.74, 229.61 and 131.96 is: 197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.74 : 229.61 = 131.96 : x
  2. Step 2: Convert to fraction form
    153.74/229.61 = 131.96/x
  3. Step 3: Cross multiply
    153.74x = 229.61 × 131.96
  4. Step 4: Simplify right side
    153.74x = 30,297.53
  5. Step 5: Solve for x
    x = 30,297.53/153.74
  6. Step 6: Final answer
    x = 197.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.