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Finding the Fourth Proportional to 243.42, 365.20 and 121.66

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Solution

The fourth proportional to 243.42, 365.20 and 121.66 is: 182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.42 : 365.20 = 121.66 : x
  2. Step 2: Convert to fraction form
    243.42/365.20 = 121.66/x
  3. Step 3: Cross multiply
    243.42x = 365.20 × 121.66
  4. Step 4: Simplify right side
    243.42x = 44,430.23
  5. Step 5: Solve for x
    x = 44,430.23/243.42
  6. Step 6: Final answer
    x = 182.52

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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.