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Finding the Fourth Proportional to 303.06, 454.39 and 120.40

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Solution

The fourth proportional to 303.06, 454.39 and 120.40 is: 180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.06 : 454.39 = 120.40 : x
  2. Step 2: Convert to fraction form
    303.06/454.39 = 120.40/x
  3. Step 3: Cross multiply
    303.06x = 454.39 × 120.40
  4. Step 4: Simplify right side
    303.06x = 54,708.56
  5. Step 5: Solve for x
    x = 54,708.56/303.06
  6. Step 6: Final answer
    x = 180.52

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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.