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Finding the Fourth Proportional to 243.82, 365.55 and 147.70

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Solution

The fourth proportional to 243.82, 365.55 and 147.70 is: 221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.82 : 365.55 = 147.70 : x
  2. Step 2: Convert to fraction form
    243.82/365.55 = 147.70/x
  3. Step 3: Cross multiply
    243.82x = 365.55 × 147.70
  4. Step 4: Simplify right side
    243.82x = 53,991.74
  5. Step 5: Solve for x
    x = 53,991.74/243.82
  6. Step 6: Final answer
    x = 221.44

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