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Finding the Fourth Proportional to 302.44, 454.16 and 205.24

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Solution

The fourth proportional to 302.44, 454.16 and 205.24 is: 308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.44 : 454.16 = 205.24 : x
  2. Step 2: Convert to fraction form
    302.44/454.16 = 205.24/x
  3. Step 3: Cross multiply
    302.44x = 454.16 × 205.24
  4. Step 4: Simplify right side
    302.44x = 93,211.80
  5. Step 5: Solve for x
    x = 93,211.80/302.44
  6. Step 6: Final answer
    x = 308.20

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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.