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Finding the Fourth Proportional to 337.43, 465.62 and 188.05

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Solution

The fourth proportional to 337.43, 465.62 and 188.05 is: 259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.43 : 465.62 = 188.05 : x
  2. Step 2: Convert to fraction form
    337.43/465.62 = 188.05/x
  3. Step 3: Cross multiply
    337.43x = 465.62 × 188.05
  4. Step 4: Simplify right side
    337.43x = 87,559.84
  5. Step 5: Solve for x
    x = 87,559.84/337.43
  6. Step 6: Final answer
    x = 259.49

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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.