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Finding the Fourth Proportional to 223.18, 334.80 and 120.58

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Solution

The fourth proportional to 223.18, 334.80 and 120.58 is: 180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.18 : 334.80 = 120.58 : x
  2. Step 2: Convert to fraction form
    223.18/334.80 = 120.58/x
  3. Step 3: Cross multiply
    223.18x = 334.80 × 120.58
  4. Step 4: Simplify right side
    223.18x = 40,370.18
  5. Step 5: Solve for x
    x = 40,370.18/223.18
  6. Step 6: Final answer
    x = 180.89

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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.