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Finding the Fourth Proportional to 302.58, 453.88 and 199.85

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Solution

The fourth proportional to 302.58, 453.88 and 199.85 is: 299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.58 : 453.88 = 199.85 : x
  2. Step 2: Convert to fraction form
    302.58/453.88 = 199.85/x
  3. Step 3: Cross multiply
    302.58x = 453.88 × 199.85
  4. Step 4: Simplify right side
    302.58x = 90,704.77
  5. Step 5: Solve for x
    x = 90,704.77/302.58
  6. Step 6: Final answer
    x = 299.77

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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.