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Finding the Fourth Proportional to 223.14, 334.71 and 60.83

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Solution

The fourth proportional to 223.14, 334.71 and 60.83 is: 91.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.14 : 334.71 = 60.83 : x
  2. Step 2: Convert to fraction form
    223.14/334.71 = 60.83/x
  3. Step 3: Cross multiply
    223.14x = 334.71 × 60.83
  4. Step 4: Simplify right side
    223.14x = 20,360.41
  5. Step 5: Solve for x
    x = 20,360.41/223.14
  6. Step 6: Final answer
    x = 91.25

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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.