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Finding the Fourth Proportional to 243.77, 366.21 and 141.31

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Solution

The fourth proportional to 243.77, 366.21 and 141.31 is: 212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.77 : 366.21 = 141.31 : x
  2. Step 2: Convert to fraction form
    243.77/366.21 = 141.31/x
  3. Step 3: Cross multiply
    243.77x = 366.21 × 141.31
  4. Step 4: Simplify right side
    243.77x = 51,748.22
  5. Step 5: Solve for x
    x = 51,748.22/243.77
  6. Step 6: Final answer
    x = 212.28

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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.