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Finding the Fourth Proportional to 288.10, 397.05 and 222.58

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Solution

The fourth proportional to 288.10, 397.05 and 222.58 is: 306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.10 : 397.05 = 222.58 : x
  2. Step 2: Convert to fraction form
    288.10/397.05 = 222.58/x
  3. Step 3: Cross multiply
    288.10x = 397.05 × 222.58
  4. Step 4: Simplify right side
    288.10x = 88,375.39
  5. Step 5: Solve for x
    x = 88,375.39/288.10
  6. Step 6: Final answer
    x = 306.75

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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.