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Finding the Fourth Proportional to 242.87, 334.93 and 159.94

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Solution

The fourth proportional to 242.87, 334.93 and 159.94 is: 220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.87 : 334.93 = 159.94 : x
  2. Step 2: Convert to fraction form
    242.87/334.93 = 159.94/x
  3. Step 3: Cross multiply
    242.87x = 334.93 × 159.94
  4. Step 4: Simplify right side
    242.87x = 53,568.70
  5. Step 5: Solve for x
    x = 53,568.70/242.87
  6. Step 6: Final answer
    x = 220.57

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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.