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Finding the Fourth Proportional to 230.78, 345.60 and 224.30

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Solution

The fourth proportional to 230.78, 345.60 and 224.30 is: 335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.78 : 345.60 = 224.30 : x
  2. Step 2: Convert to fraction form
    230.78/345.60 = 224.30/x
  3. Step 3: Cross multiply
    230.78x = 345.60 × 224.30
  4. Step 4: Simplify right side
    230.78x = 77,518.08
  5. Step 5: Solve for x
    x = 77,518.08/230.78
  6. Step 6: Final answer
    x = 335.90

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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.