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Finding the Fourth Proportional to 304.38, 456.27 and 121.53

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Solution

The fourth proportional to 304.38, 456.27 and 121.53 is: 182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.38 : 456.27 = 121.53 : x
  2. Step 2: Convert to fraction form
    304.38/456.27 = 121.53/x
  3. Step 3: Cross multiply
    304.38x = 456.27 × 121.53
  4. Step 4: Simplify right side
    304.38x = 55,450.49
  5. Step 5: Solve for x
    x = 55,450.49/304.38
  6. Step 6: Final answer
    x = 182.18

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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.