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Finding the Fourth Proportional to 302.91, 454.61 and 120.43

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Solution

The fourth proportional to 302.91, 454.61 and 120.43 is: 180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.91 : 454.61 = 120.43 : x
  2. Step 2: Convert to fraction form
    302.91/454.61 = 120.43/x
  3. Step 3: Cross multiply
    302.91x = 454.61 × 120.43
  4. Step 4: Simplify right side
    302.91x = 54,748.68
  5. Step 5: Solve for x
    x = 54,748.68/302.91
  6. Step 6: Final answer
    x = 180.74

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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.