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Finding the Fourth Proportional to 275.99, 380.82 and 151.65

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Solution

The fourth proportional to 275.99, 380.82 and 151.65 is: 209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.99 : 380.82 = 151.65 : x
  2. Step 2: Convert to fraction form
    275.99/380.82 = 151.65/x
  3. Step 3: Cross multiply
    275.99x = 380.82 × 151.65
  4. Step 4: Simplify right side
    275.99x = 57,751.07
  5. Step 5: Solve for x
    x = 57,751.07/275.99
  6. Step 6: Final answer
    x = 209.25

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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.