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Finding the Fourth Proportional to 242.83, 335.17 and 137.98

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Solution

The fourth proportional to 242.83, 335.17 and 137.98 is: 190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.83 : 335.17 = 137.98 : x
  2. Step 2: Convert to fraction form
    242.83/335.17 = 137.98/x
  3. Step 3: Cross multiply
    242.83x = 335.17 × 137.98
  4. Step 4: Simplify right side
    242.83x = 46,246.57
  5. Step 5: Solve for x
    x = 46,246.57/242.83
  6. Step 6: Final answer
    x = 190.45

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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.