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Finding the Fourth Proportional to 302.83, 453.91 and 120.02

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Solution

The fourth proportional to 302.83, 453.91 and 120.02 is: 179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.83 : 453.91 = 120.02 : x
  2. Step 2: Convert to fraction form
    302.83/453.91 = 120.02/x
  3. Step 3: Cross multiply
    302.83x = 453.91 × 120.02
  4. Step 4: Simplify right side
    302.83x = 54,478.28
  5. Step 5: Solve for x
    x = 54,478.28/302.83
  6. Step 6: Final answer
    x = 179.90

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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.