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Finding the Fourth Proportional to 154.12, 212.70 and 146.68

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Solution

The fourth proportional to 154.12, 212.70 and 146.68 is: 202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.12 : 212.70 = 146.68 : x
  2. Step 2: Convert to fraction form
    154.12/212.70 = 146.68/x
  3. Step 3: Cross multiply
    154.12x = 212.70 × 146.68
  4. Step 4: Simplify right side
    154.12x = 31,198.84
  5. Step 5: Solve for x
    x = 31,198.84/154.12
  6. Step 6: Final answer
    x = 202.43

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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.