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Finding the Fourth Proportional to 231.49, 319.32 and 152.81

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Solution

The fourth proportional to 231.49, 319.32 and 152.81 is: 210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.49 : 319.32 = 152.81 : x
  2. Step 2: Convert to fraction form
    231.49/319.32 = 152.81/x
  3. Step 3: Cross multiply
    231.49x = 319.32 × 152.81
  4. Step 4: Simplify right side
    231.49x = 48,794.89
  5. Step 5: Solve for x
    x = 48,794.89/231.49
  6. Step 6: Final answer
    x = 210.78

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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.