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Finding the Fourth Proportional to 224.32, 337.20 and 181.84

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Solution

The fourth proportional to 224.32, 337.20 and 181.84 is: 273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.32 : 337.20 = 181.84 : x
  2. Step 2: Convert to fraction form
    224.32/337.20 = 181.84/x
  3. Step 3: Cross multiply
    224.32x = 337.20 × 181.84
  4. Step 4: Simplify right side
    224.32x = 61,316.45
  5. Step 5: Solve for x
    x = 61,316.45/224.32
  6. Step 6: Final answer
    x = 273.34

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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.