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Finding the Fourth Proportional to 243.98, 366.24 and 146.70

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Solution

The fourth proportional to 243.98, 366.24 and 146.70 is: 220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.98 : 366.24 = 146.70 : x
  2. Step 2: Convert to fraction form
    243.98/366.24 = 146.70/x
  3. Step 3: Cross multiply
    243.98x = 366.24 × 146.70
  4. Step 4: Simplify right side
    243.98x = 53,727.41
  5. Step 5: Solve for x
    x = 53,727.41/243.98
  6. Step 6: Final answer
    x = 220.21

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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.