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Finding the Fourth Proportional to 242.02, 362.49 and 160.66

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Solution

The fourth proportional to 242.02, 362.49 and 160.66 is: 240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.02 : 362.49 = 160.66 : x
  2. Step 2: Convert to fraction form
    242.02/362.49 = 160.66/x
  3. Step 3: Cross multiply
    242.02x = 362.49 × 160.66
  4. Step 4: Simplify right side
    242.02x = 58,237.64
  5. Step 5: Solve for x
    x = 58,237.64/242.02
  6. Step 6: Final answer
    x = 240.63

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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.