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Finding the Fourth Proportional to 244.50, 337.54 and 166.23

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Solution

The fourth proportional to 244.50, 337.54 and 166.23 is: 229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.50 : 337.54 = 166.23 : x
  2. Step 2: Convert to fraction form
    244.50/337.54 = 166.23/x
  3. Step 3: Cross multiply
    244.50x = 337.54 × 166.23
  4. Step 4: Simplify right side
    244.50x = 56,109.27
  5. Step 5: Solve for x
    x = 56,109.27/244.50
  6. Step 6: Final answer
    x = 229.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.