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Finding the Fourth Proportional to 302.74, 454.02 and 120.04

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Solution

The fourth proportional to 302.74, 454.02 and 120.04 is: 180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.74 : 454.02 = 120.04 : x
  2. Step 2: Convert to fraction form
    302.74/454.02 = 120.04/x
  3. Step 3: Cross multiply
    302.74x = 454.02 × 120.04
  4. Step 4: Simplify right side
    302.74x = 54,500.56
  5. Step 5: Solve for x
    x = 54,500.56/302.74
  6. Step 6: Final answer
    x = 180.02

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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.