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Finding the Fourth Proportional to 222.17, 332.84 and 187.88

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Solution

The fourth proportional to 222.17, 332.84 and 187.88 is: 281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.17 : 332.84 = 187.88 : x
  2. Step 2: Convert to fraction form
    222.17/332.84 = 187.88/x
  3. Step 3: Cross multiply
    222.17x = 332.84 × 187.88
  4. Step 4: Simplify right side
    222.17x = 62,532.78
  5. Step 5: Solve for x
    x = 62,532.78/222.17
  6. Step 6: Final answer
    x = 281.47

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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.