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Finding the Fourth Proportional to 224.12, 335.70 and 189.08

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Solution

The fourth proportional to 224.12, 335.70 and 189.08 is: 283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.12 : 335.70 = 189.08 : x
  2. Step 2: Convert to fraction form
    224.12/335.70 = 189.08/x
  3. Step 3: Cross multiply
    224.12x = 335.70 × 189.08
  4. Step 4: Simplify right side
    224.12x = 63,474.16
  5. Step 5: Solve for x
    x = 63,474.16/224.12
  6. Step 6: Final answer
    x = 283.22

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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.