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Finding the Fourth Proportional to 302.99, 418.28 and 205.25

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Solution

The fourth proportional to 302.99, 418.28 and 205.25 is: 283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.99 : 418.28 = 205.25 : x
  2. Step 2: Convert to fraction form
    302.99/418.28 = 205.25/x
  3. Step 3: Cross multiply
    302.99x = 418.28 × 205.25
  4. Step 4: Simplify right side
    302.99x = 85,848.85
  5. Step 5: Solve for x
    x = 85,848.85/302.99
  6. Step 6: Final answer
    x = 283.34

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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.