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Finding the Fourth Proportional to 242.95, 335.20 and 144.70

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Solution

The fourth proportional to 242.95, 335.20 and 144.70 is: 199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.95 : 335.20 = 144.70 : x
  2. Step 2: Convert to fraction form
    242.95/335.20 = 144.70/x
  3. Step 3: Cross multiply
    242.95x = 335.20 × 144.70
  4. Step 4: Simplify right side
    242.95x = 48,503.44
  5. Step 5: Solve for x
    x = 48,503.44/242.95
  6. Step 6: Final answer
    x = 199.64

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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.