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Finding the Fourth Proportional to 302.83, 454.74 and 198.88

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Solution

The fourth proportional to 302.83, 454.74 and 198.88 is: 298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.83 : 454.74 = 198.88 : x
  2. Step 2: Convert to fraction form
    302.83/454.74 = 198.88/x
  3. Step 3: Cross multiply
    302.83x = 454.74 × 198.88
  4. Step 4: Simplify right side
    302.83x = 90,438.69
  5. Step 5: Solve for x
    x = 90,438.69/302.83
  6. Step 6: Final answer
    x = 298.65

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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.