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Finding the Fourth Proportional to 242.33, 362.57 and 161.24

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Solution

The fourth proportional to 242.33, 362.57 and 161.24 is: 241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.33 : 362.57 = 161.24 : x
  2. Step 2: Convert to fraction form
    242.33/362.57 = 161.24/x
  3. Step 3: Cross multiply
    242.33x = 362.57 × 161.24
  4. Step 4: Simplify right side
    242.33x = 58,458.17
  5. Step 5: Solve for x
    x = 58,458.17/242.33
  6. Step 6: Final answer
    x = 241.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.