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Finding the Fourth Proportional to 242.68, 334.91 and 137.73

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Solution

The fourth proportional to 242.68, 334.91 and 137.73 is: 190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.68 : 334.91 = 137.73 : x
  2. Step 2: Convert to fraction form
    242.68/334.91 = 137.73/x
  3. Step 3: Cross multiply
    242.68x = 334.91 × 137.73
  4. Step 4: Simplify right side
    242.68x = 46,127.15
  5. Step 5: Solve for x
    x = 46,127.15/242.68
  6. Step 6: Final answer
    x = 190.07

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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.