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Finding the Fourth Proportional to 231.92, 319.80 and 154.16

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Solution

The fourth proportional to 231.92, 319.80 and 154.16 is: 212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.92 : 319.80 = 154.16 : x
  2. Step 2: Convert to fraction form
    231.92/319.80 = 154.16/x
  3. Step 3: Cross multiply
    231.92x = 319.80 × 154.16
  4. Step 4: Simplify right side
    231.92x = 49,300.37
  5. Step 5: Solve for x
    x = 49,300.37/231.92
  6. Step 6: Final answer
    x = 212.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.