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Finding the Fourth Proportional to 231.83, 347.40 and 158.66

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Solution

The fourth proportional to 231.83, 347.40 and 158.66 is: 237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.83 : 347.40 = 158.66 : x
  2. Step 2: Convert to fraction form
    231.83/347.40 = 158.66/x
  3. Step 3: Cross multiply
    231.83x = 347.40 × 158.66
  4. Step 4: Simplify right side
    231.83x = 55,116.75
  5. Step 5: Solve for x
    x = 55,116.75/231.83
  6. Step 6: Final answer
    x = 237.75

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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.