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Finding the Fourth Proportional to 222.10, 333.18 and 77.82

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Solution

The fourth proportional to 222.10, 333.18 and 77.82 is: 116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.10 : 333.18 = 77.82 : x
  2. Step 2: Convert to fraction form
    222.10/333.18 = 77.82/x
  3. Step 3: Cross multiply
    222.10x = 333.18 × 77.82
  4. Step 4: Simplify right side
    222.10x = 25,928.07
  5. Step 5: Solve for x
    x = 25,928.07/222.10
  6. Step 6: Final answer
    x = 116.74

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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.