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Finding the Fourth Proportional to 335.72, 463.19 and 188.33

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Solution

The fourth proportional to 335.72, 463.19 and 188.33 is: 259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.72 : 463.19 = 188.33 : x
  2. Step 2: Convert to fraction form
    335.72/463.19 = 188.33/x
  3. Step 3: Cross multiply
    335.72x = 463.19 × 188.33
  4. Step 4: Simplify right side
    335.72x = 87,231.76
  5. Step 5: Solve for x
    x = 87,231.76/335.72
  6. Step 6: Final answer
    x = 259.83

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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.