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Finding the Fourth Proportional to 312.24, 430.78 and 201.78

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Solution

The fourth proportional to 312.24, 430.78 and 201.78 is: 278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.24 : 430.78 = 201.78 : x
  2. Step 2: Convert to fraction form
    312.24/430.78 = 201.78/x
  3. Step 3: Cross multiply
    312.24x = 430.78 × 201.78
  4. Step 4: Simplify right side
    312.24x = 86,922.79
  5. Step 5: Solve for x
    x = 86,922.79/312.24
  6. Step 6: Final answer
    x = 278.38

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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.