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Finding the Fourth Proportional to 242.73, 364.82 and 114.57

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Solution

The fourth proportional to 242.73, 364.82 and 114.57 is: 172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.73 : 364.82 = 114.57 : x
  2. Step 2: Convert to fraction form
    242.73/364.82 = 114.57/x
  3. Step 3: Cross multiply
    242.73x = 364.82 × 114.57
  4. Step 4: Simplify right side
    242.73x = 41,796.85
  5. Step 5: Solve for x
    x = 41,796.85/242.73
  6. Step 6: Final answer
    x = 172.19

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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.