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Finding the Fourth Proportional to 337.18, 465.34 and 189.84

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Solution

The fourth proportional to 337.18, 465.34 and 189.84 is: 262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.18 : 465.34 = 189.84 : x
  2. Step 2: Convert to fraction form
    337.18/465.34 = 189.84/x
  3. Step 3: Cross multiply
    337.18x = 465.34 × 189.84
  4. Step 4: Simplify right side
    337.18x = 88,340.15
  5. Step 5: Solve for x
    x = 88,340.15/337.18
  6. Step 6: Final answer
    x = 262.00

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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.