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Finding the Fourth Proportional to 222.89, 334.36 and 78.57

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Solution

The fourth proportional to 222.89, 334.36 and 78.57 is: 117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.89 : 334.36 = 78.57 : x
  2. Step 2: Convert to fraction form
    222.89/334.36 = 78.57/x
  3. Step 3: Cross multiply
    222.89x = 334.36 × 78.57
  4. Step 4: Simplify right side
    222.89x = 26,270.47
  5. Step 5: Solve for x
    x = 26,270.47/222.89
  6. Step 6: Final answer
    x = 117.87

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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.