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Finding the Fourth Proportional to 508.65, 762.97 and 183.94

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Solution

The fourth proportional to 508.65, 762.97 and 183.94 is: 275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.65 : 762.97 = 183.94 : x
  2. Step 2: Convert to fraction form
    508.65/762.97 = 183.94/x
  3. Step 3: Cross multiply
    508.65x = 762.97 × 183.94
  4. Step 4: Simplify right side
    508.65x = 140,338.56
  5. Step 5: Solve for x
    x = 140,338.56/508.65
  6. Step 6: Final answer
    x = 275.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.