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Finding the Fourth Proportional to 231.75, 348.30 and 230.40

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Solution

The fourth proportional to 231.75, 348.30 and 230.40 is: 346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.75 : 348.30 = 230.40 : x
  2. Step 2: Convert to fraction form
    231.75/348.30 = 230.40/x
  3. Step 3: Cross multiply
    231.75x = 348.30 × 230.40
  4. Step 4: Simplify right side
    231.75x = 80,248.32
  5. Step 5: Solve for x
    x = 80,248.32/231.75
  6. Step 6: Final answer
    x = 346.27

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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.