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Finding the Fourth Proportional to 303.92, 455.66 and 98.42

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Solution

The fourth proportional to 303.92, 455.66 and 98.42 is: 147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.92 : 455.66 = 98.42 : x
  2. Step 2: Convert to fraction form
    303.92/455.66 = 98.42/x
  3. Step 3: Cross multiply
    303.92x = 455.66 × 98.42
  4. Step 4: Simplify right side
    303.92x = 44,846.06
  5. Step 5: Solve for x
    x = 44,846.06/303.92
  6. Step 6: Final answer
    x = 147.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.