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Finding the Fourth Proportional to 231.24, 346.94 and 140.00

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Solution

The fourth proportional to 231.24, 346.94 and 140.00 is: 210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.24 : 346.94 = 140.00 : x
  2. Step 2: Convert to fraction form
    231.24/346.94 = 140.00/x
  3. Step 3: Cross multiply
    231.24x = 346.94 × 140.00
  4. Step 4: Simplify right side
    231.24x = 48,569.17
  5. Step 5: Solve for x
    x = 48,569.17/231.24
  6. Step 6: Final answer
    x = 210.04

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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.