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Finding the Fourth Proportional to 302.87, 418.01 and 171.88

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Solution

The fourth proportional to 302.87, 418.01 and 171.88 is: 237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.87 : 418.01 = 171.88 : x
  2. Step 2: Convert to fraction form
    302.87/418.01 = 171.88/x
  3. Step 3: Cross multiply
    302.87x = 418.01 × 171.88
  4. Step 4: Simplify right side
    302.87x = 71,845.65
  5. Step 5: Solve for x
    x = 71,845.65/302.87
  6. Step 6: Final answer
    x = 237.21

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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.