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Finding the Fourth Proportional to 223.04, 334.24 and 179.84

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Solution

The fourth proportional to 223.04, 334.24 and 179.84 is: 269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.04 : 334.24 = 179.84 : x
  2. Step 2: Convert to fraction form
    223.04/334.24 = 179.84/x
  3. Step 3: Cross multiply
    223.04x = 334.24 × 179.84
  4. Step 4: Simplify right side
    223.04x = 60,109.72
  5. Step 5: Solve for x
    x = 60,109.72/223.04
  6. Step 6: Final answer
    x = 269.50

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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.