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Finding the Fourth Proportional to 303.98, 456.08 and 121.43

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Solution

The fourth proportional to 303.98, 456.08 and 121.43 is: 182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.98 : 456.08 = 121.43 : x
  2. Step 2: Convert to fraction form
    303.98/456.08 = 121.43/x
  3. Step 3: Cross multiply
    303.98x = 456.08 × 121.43
  4. Step 4: Simplify right side
    303.98x = 55,381.79
  5. Step 5: Solve for x
    x = 55,381.79/303.98
  6. Step 6: Final answer
    x = 182.19

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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.