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Finding the Fourth Proportional to 244.34, 366.56 and 82.02

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Solution

The fourth proportional to 244.34, 366.56 and 82.02 is: 123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.34 : 366.56 = 82.02 : x
  2. Step 2: Convert to fraction form
    244.34/366.56 = 82.02/x
  3. Step 3: Cross multiply
    244.34x = 366.56 × 82.02
  4. Step 4: Simplify right side
    244.34x = 30,065.25
  5. Step 5: Solve for x
    x = 30,065.25/244.34
  6. Step 6: Final answer
    x = 123.05

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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.