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Finding the Fourth Proportional to 242.69, 334.81 and 144.43

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Solution

The fourth proportional to 242.69, 334.81 and 144.43 is: 199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.69 : 334.81 = 144.43 : x
  2. Step 2: Convert to fraction form
    242.69/334.81 = 144.43/x
  3. Step 3: Cross multiply
    242.69x = 334.81 × 144.43
  4. Step 4: Simplify right side
    242.69x = 48,355.41
  5. Step 5: Solve for x
    x = 48,355.41/242.69
  6. Step 6: Final answer
    x = 199.25

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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.