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Finding the Fourth Proportional to 231.12, 345.92 and 158.00

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Solution

The fourth proportional to 231.12, 345.92 and 158.00 is: 236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.12 : 345.92 = 158.00 : x
  2. Step 2: Convert to fraction form
    231.12/345.92 = 158.00/x
  3. Step 3: Cross multiply
    231.12x = 345.92 × 158.00
  4. Step 4: Simplify right side
    231.12x = 54,652.84
  5. Step 5: Solve for x
    x = 54,652.84/231.12
  6. Step 6: Final answer
    x = 236.47

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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.