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Finding the Fourth Proportional to 154.98, 213.84 and 149.04

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Solution

The fourth proportional to 154.98, 213.84 and 149.04 is: 205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.98 : 213.84 = 149.04 : x
  2. Step 2: Convert to fraction form
    154.98/213.84 = 149.04/x
  3. Step 3: Cross multiply
    154.98x = 213.84 × 149.04
  4. Step 4: Simplify right side
    154.98x = 31,870.71
  5. Step 5: Solve for x
    x = 31,870.71/154.98
  6. Step 6: Final answer
    x = 205.64

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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.