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Finding the Fourth Proportional to 231.49, 347.00 and 99.81

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Solution

The fourth proportional to 231.49, 347.00 and 99.81 is: 149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.49 : 347.00 = 99.81 : x
  2. Step 2: Convert to fraction form
    231.49/347.00 = 99.81/x
  3. Step 3: Cross multiply
    231.49x = 347.00 × 99.81
  4. Step 4: Simplify right side
    231.49x = 34,632.88
  5. Step 5: Solve for x
    x = 34,632.88/231.49
  6. Step 6: Final answer
    x = 149.61

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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.