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Finding the Fourth Proportional to 224.04, 337.36 and 189.92

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Solution

The fourth proportional to 224.04, 337.36 and 189.92 is: 285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.04 : 337.36 = 189.92 : x
  2. Step 2: Convert to fraction form
    224.04/337.36 = 189.92/x
  3. Step 3: Cross multiply
    224.04x = 337.36 × 189.92
  4. Step 4: Simplify right side
    224.04x = 64,071.41
  5. Step 5: Solve for x
    x = 64,071.41/224.04
  6. Step 6: Final answer
    x = 285.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.