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Finding the Fourth Proportional to 337.16, 465.31 and 189.83

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Solution

The fourth proportional to 337.16, 465.31 and 189.83 is: 261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.16 : 465.31 = 189.83 : x
  2. Step 2: Convert to fraction form
    337.16/465.31 = 189.83/x
  3. Step 3: Cross multiply
    337.16x = 465.31 × 189.83
  4. Step 4: Simplify right side
    337.16x = 88,329.80
  5. Step 5: Solve for x
    x = 88,329.80/337.16
  6. Step 6: Final answer
    x = 261.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.