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Finding the Fourth Proportional to 312.50, 431.28 and 179.76

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Solution

The fourth proportional to 312.50, 431.28 and 179.76 is: 248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.50 : 431.28 = 179.76 : x
  2. Step 2: Convert to fraction form
    312.50/431.28 = 179.76/x
  3. Step 3: Cross multiply
    312.50x = 431.28 × 179.76
  4. Step 4: Simplify right side
    312.50x = 77,526.89
  5. Step 5: Solve for x
    x = 77,526.89/312.50
  6. Step 6: Final answer
    x = 248.09

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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.