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Finding the Fourth Proportional to 231.10, 346.64 and 102.76

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Solution

The fourth proportional to 231.10, 346.64 and 102.76 is: 154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.10 : 346.64 = 102.76 : x
  2. Step 2: Convert to fraction form
    231.10/346.64 = 102.76/x
  3. Step 3: Cross multiply
    231.10x = 346.64 × 102.76
  4. Step 4: Simplify right side
    231.10x = 35,620.73
  5. Step 5: Solve for x
    x = 35,620.73/231.10
  6. Step 6: Final answer
    x = 154.14

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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.