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Finding the Fourth Proportional to 304.86, 457.67 and 150.94

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Solution

The fourth proportional to 304.86, 457.67 and 150.94 is: 226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.86 : 457.67 = 150.94 : x
  2. Step 2: Convert to fraction form
    304.86/457.67 = 150.94/x
  3. Step 3: Cross multiply
    304.86x = 457.67 × 150.94
  4. Step 4: Simplify right side
    304.86x = 69,078.81
  5. Step 5: Solve for x
    x = 69,078.81/304.86
  6. Step 6: Final answer
    x = 226.59

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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.