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Finding the Fourth Proportional to 242.26, 334.36 and 159.74

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Solution

The fourth proportional to 242.26, 334.36 and 159.74 is: 220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.26 : 334.36 = 159.74 : x
  2. Step 2: Convert to fraction form
    242.26/334.36 = 159.74/x
  3. Step 3: Cross multiply
    242.26x = 334.36 × 159.74
  4. Step 4: Simplify right side
    242.26x = 53,409.55
  5. Step 5: Solve for x
    x = 53,409.55/242.26
  6. Step 6: Final answer
    x = 220.46

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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.