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Finding the Fourth Proportional to 304.45, 456.84 and 167.59

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Solution

The fourth proportional to 304.45, 456.84 and 167.59 is: 251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.45 : 456.84 = 167.59 : x
  2. Step 2: Convert to fraction form
    304.45/456.84 = 167.59/x
  3. Step 3: Cross multiply
    304.45x = 456.84 × 167.59
  4. Step 4: Simplify right side
    304.45x = 76,561.82
  5. Step 5: Solve for x
    x = 76,561.82/304.45
  6. Step 6: Final answer
    x = 251.48

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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.