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Finding the Fourth Proportional to 302.87, 454.09 and 138.26

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Solution

The fourth proportional to 302.87, 454.09 and 138.26 is: 207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.87 : 454.09 = 138.26 : x
  2. Step 2: Convert to fraction form
    302.87/454.09 = 138.26/x
  3. Step 3: Cross multiply
    302.87x = 454.09 × 138.26
  4. Step 4: Simplify right side
    302.87x = 62,780.98
  5. Step 5: Solve for x
    x = 62,780.98/302.87
  6. Step 6: Final answer
    x = 207.29

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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.