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Finding the Fourth Proportional to 231.56, 319.61 and 159.87

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Solution

The fourth proportional to 231.56, 319.61 and 159.87 is: 220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.56 : 319.61 = 159.87 : x
  2. Step 2: Convert to fraction form
    231.56/319.61 = 159.87/x
  3. Step 3: Cross multiply
    231.56x = 319.61 × 159.87
  4. Step 4: Simplify right side
    231.56x = 51,097.65
  5. Step 5: Solve for x
    x = 51,097.65/231.56
  6. Step 6: Final answer
    x = 220.67

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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.