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Finding the Fourth Proportional to 332.51, 498.30 and 169.85

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Solution

The fourth proportional to 332.51, 498.30 and 169.85 is: 254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.51 : 498.30 = 169.85 : x
  2. Step 2: Convert to fraction form
    332.51/498.30 = 169.85/x
  3. Step 3: Cross multiply
    332.51x = 498.30 × 169.85
  4. Step 4: Simplify right side
    332.51x = 84,636.68
  5. Step 5: Solve for x
    x = 84,636.68/332.51
  6. Step 6: Final answer
    x = 254.54

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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.