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Finding the Fourth Proportional to 312.25, 430.76 and 201.76

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Solution

The fourth proportional to 312.25, 430.76 and 201.76 is: 278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.25 : 430.76 = 201.76 : x
  2. Step 2: Convert to fraction form
    312.25/430.76 = 201.76/x
  3. Step 3: Cross multiply
    312.25x = 430.76 × 201.76
  4. Step 4: Simplify right side
    312.25x = 86,908.05
  5. Step 5: Solve for x
    x = 86,908.05/312.25
  6. Step 6: Final answer
    x = 278.33

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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.