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Finding the Fourth Proportional to 244.40, 366.54 and 116.24

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Solution

The fourth proportional to 244.40, 366.54 and 116.24 is: 174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.40 : 366.54 = 116.24 : x
  2. Step 2: Convert to fraction form
    244.40/366.54 = 116.24/x
  3. Step 3: Cross multiply
    244.40x = 366.54 × 116.24
  4. Step 4: Simplify right side
    244.40x = 42,606.61
  5. Step 5: Solve for x
    x = 42,606.61/244.40
  6. Step 6: Final answer
    x = 174.33

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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.