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Finding the Fourth Proportional to 310.69, 428.80 and 179.77

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Solution

The fourth proportional to 310.69, 428.80 and 179.77 is: 248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.69 : 428.80 = 179.77 : x
  2. Step 2: Convert to fraction form
    310.69/428.80 = 179.77/x
  3. Step 3: Cross multiply
    310.69x = 428.80 × 179.77
  4. Step 4: Simplify right side
    310.69x = 77,082.33
  5. Step 5: Solve for x
    x = 77,082.33/310.69
  6. Step 6: Final answer
    x = 248.10

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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.