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Finding the Fourth Proportional to 154.80, 230.88 and 141.84

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Solution

The fourth proportional to 154.80, 230.88 and 141.84 is: 211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 230.88 = 141.84 : x
  2. Step 2: Convert to fraction form
    154.80/230.88 = 141.84/x
  3. Step 3: Cross multiply
    154.80x = 230.88 × 141.84
  4. Step 4: Simplify right side
    154.80x = 32,748.02
  5. Step 5: Solve for x
    x = 32,748.02/154.80
  6. Step 6: Final answer
    x = 211.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.