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Finding the Fourth Proportional to 154.32, 212.40 and 140.28

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Solution

The fourth proportional to 154.32, 212.40 and 140.28 is: 193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.32 : 212.40 = 140.28 : x
  2. Step 2: Convert to fraction form
    154.32/212.40 = 140.28/x
  3. Step 3: Cross multiply
    154.32x = 212.40 × 140.28
  4. Step 4: Simplify right side
    154.32x = 29,795.47
  5. Step 5: Solve for x
    x = 29,795.47/154.32
  6. Step 6: Final answer
    x = 193.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.