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Finding the Fourth Proportional to 231.06, 345.78 and 159.06

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Solution

The fourth proportional to 231.06, 345.78 and 159.06 is: 238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.06 : 345.78 = 159.06 : x
  2. Step 2: Convert to fraction form
    231.06/345.78 = 159.06/x
  3. Step 3: Cross multiply
    231.06x = 345.78 × 159.06
  4. Step 4: Simplify right side
    231.06x = 54,999.77
  5. Step 5: Solve for x
    x = 54,999.77/231.06
  6. Step 6: Final answer
    x = 238.03

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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.