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Finding the Fourth Proportional to 222.81, 308.01 and 220.74

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Solution

The fourth proportional to 222.81, 308.01 and 220.74 is: 305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.81 : 308.01 = 220.74 : x
  2. Step 2: Convert to fraction form
    222.81/308.01 = 220.74/x
  3. Step 3: Cross multiply
    222.81x = 308.01 × 220.74
  4. Step 4: Simplify right side
    222.81x = 67,990.13
  5. Step 5: Solve for x
    x = 67,990.13/222.81
  6. Step 6: Final answer
    x = 305.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.