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Finding the Fourth Proportional to 242.94, 334.89 and 201.42

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Solution

The fourth proportional to 242.94, 334.89 and 201.42 is: 277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.94 : 334.89 = 201.42 : x
  2. Step 2: Convert to fraction form
    242.94/334.89 = 201.42/x
  3. Step 3: Cross multiply
    242.94x = 334.89 × 201.42
  4. Step 4: Simplify right side
    242.94x = 67,453.54
  5. Step 5: Solve for x
    x = 67,453.54/242.94
  6. Step 6: Final answer
    x = 277.66

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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.