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Finding the Fourth Proportional to 224.98, 338.06 and 116.84

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Solution

The fourth proportional to 224.98, 338.06 and 116.84 is: 175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.98 : 338.06 = 116.84 : x
  2. Step 2: Convert to fraction form
    224.98/338.06 = 116.84/x
  3. Step 3: Cross multiply
    224.98x = 338.06 × 116.84
  4. Step 4: Simplify right side
    224.98x = 39,498.93
  5. Step 5: Solve for x
    x = 39,498.93/224.98
  6. Step 6: Final answer
    x = 175.57

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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.