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Finding the Fourth Proportional to 242.67, 363.67 and 170.38

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Solution

The fourth proportional to 242.67, 363.67 and 170.38 is: 255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.67 : 363.67 = 170.38 : x
  2. Step 2: Convert to fraction form
    242.67/363.67 = 170.38/x
  3. Step 3: Cross multiply
    242.67x = 363.67 × 170.38
  4. Step 4: Simplify right side
    242.67x = 61,960.76
  5. Step 5: Solve for x
    x = 61,960.76/242.67
  6. Step 6: Final answer
    x = 255.33

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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.