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Finding the Fourth Proportional to 222.10, 333.18 and 77.83

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Solution

The fourth proportional to 222.10, 333.18 and 77.83 is: 116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.10 : 333.18 = 77.83 : x
  2. Step 2: Convert to fraction form
    222.10/333.18 = 77.83/x
  3. Step 3: Cross multiply
    222.10x = 333.18 × 77.83
  4. Step 4: Simplify right side
    222.10x = 25,931.40
  5. Step 5: Solve for x
    x = 25,931.40/222.10
  6. Step 6: Final answer
    x = 116.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.