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Finding the Fourth Proportional to 223.12, 334.74 and 78.82

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Solution

The fourth proportional to 223.12, 334.74 and 78.82 is: 118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.12 : 334.74 = 78.82 : x
  2. Step 2: Convert to fraction form
    223.12/334.74 = 78.82/x
  3. Step 3: Cross multiply
    223.12x = 334.74 × 78.82
  4. Step 4: Simplify right side
    223.12x = 26,384.21
  5. Step 5: Solve for x
    x = 26,384.21/223.12
  6. Step 6: Final answer
    x = 118.25

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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.