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Finding the Fourth Proportional to 242.71, 334.96 and 137.83

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Solution

The fourth proportional to 242.71, 334.96 and 137.83 is: 190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.71 : 334.96 = 137.83 : x
  2. Step 2: Convert to fraction form
    242.71/334.96 = 137.83/x
  3. Step 3: Cross multiply
    242.71x = 334.96 × 137.83
  4. Step 4: Simplify right side
    242.71x = 46,169.14
  5. Step 5: Solve for x
    x = 46,169.14/242.71
  6. Step 6: Final answer
    x = 190.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.