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Finding the Fourth Proportional to 222.19, 332.60 and 140.78

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Solution

The fourth proportional to 222.19, 332.60 and 140.78 is: 210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.19 : 332.60 = 140.78 : x
  2. Step 2: Convert to fraction form
    222.19/332.60 = 140.78/x
  3. Step 3: Cross multiply
    222.19x = 332.60 × 140.78
  4. Step 4: Simplify right side
    222.19x = 46,823.43
  5. Step 5: Solve for x
    x = 46,823.43/222.19
  6. Step 6: Final answer
    x = 210.74

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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.