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Finding the Fourth Proportional to 304.37, 456.68 and 111.95

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Solution

The fourth proportional to 304.37, 456.68 and 111.95 is: 167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.37 : 456.68 = 111.95 : x
  2. Step 2: Convert to fraction form
    304.37/456.68 = 111.95/x
  3. Step 3: Cross multiply
    304.37x = 456.68 × 111.95
  4. Step 4: Simplify right side
    304.37x = 51,122.48
  5. Step 5: Solve for x
    x = 51,122.48/304.37
  6. Step 6: Final answer
    x = 167.96

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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.