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Finding the Fourth Proportional to 312.72, 431.76 and 202.36

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Solution

The fourth proportional to 312.72, 431.76 and 202.36 is: 279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.72 : 431.76 = 202.36 : x
  2. Step 2: Convert to fraction form
    312.72/431.76 = 202.36/x
  3. Step 3: Cross multiply
    312.72x = 431.76 × 202.36
  4. Step 4: Simplify right side
    312.72x = 87,370.95
  5. Step 5: Solve for x
    x = 87,370.95/312.72
  6. Step 6: Final answer
    x = 279.39

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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.