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Finding the Fourth Proportional to 398.16, 596.97 and 154.53

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Solution

The fourth proportional to 398.16, 596.97 and 154.53 is: 231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.16 : 596.97 = 154.53 : x
  2. Step 2: Convert to fraction form
    398.16/596.97 = 154.53/x
  3. Step 3: Cross multiply
    398.16x = 596.97 × 154.53
  4. Step 4: Simplify right side
    398.16x = 92,249.77
  5. Step 5: Solve for x
    x = 92,249.77/398.16
  6. Step 6: Final answer
    x = 231.69

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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.