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Finding the Fourth Proportional to 154.20, 232.30 and 140.32

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Solution

The fourth proportional to 154.20, 232.30 and 140.32 is: 211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.20 : 232.30 = 140.32 : x
  2. Step 2: Convert to fraction form
    154.20/232.30 = 140.32/x
  3. Step 3: Cross multiply
    154.20x = 232.30 × 140.32
  4. Step 4: Simplify right side
    154.20x = 32,596.34
  5. Step 5: Solve for x
    x = 32,596.34/154.20
  6. Step 6: Final answer
    x = 211.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.