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Finding the Fourth Proportional to 303.05, 454.64 and 120.42

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Solution

The fourth proportional to 303.05, 454.64 and 120.42 is: 180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.05 : 454.64 = 120.42 : x
  2. Step 2: Convert to fraction form
    303.05/454.64 = 120.42/x
  3. Step 3: Cross multiply
    303.05x = 454.64 × 120.42
  4. Step 4: Simplify right side
    303.05x = 54,747.15
  5. Step 5: Solve for x
    x = 54,747.15/303.05
  6. Step 6: Final answer
    x = 180.65

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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.