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Finding the Fourth Proportional to 231, 346.68 and 102.84

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Solution

The fourth proportional to 231, 346.68 and 102.84 is: 154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 346.68 = 102.84 : x
  2. Step 2: Convert to fraction form
    231/346.68 = 102.84/x
  3. Step 3: Cross multiply
    231x = 346.68 × 102.84
  4. Step 4: Simplify right side
    231x = 35,652.57
  5. Step 5: Solve for x
    x = 35,652.57/231
  6. Step 6: Final answer
    x = 154.34

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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.