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Finding the Fourth Proportional to 293.71, 405.51 and 188.85

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Solution

The fourth proportional to 293.71, 405.51 and 188.85 is: 260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.71 : 405.51 = 188.85 : x
  2. Step 2: Convert to fraction form
    293.71/405.51 = 188.85/x
  3. Step 3: Cross multiply
    293.71x = 405.51 × 188.85
  4. Step 4: Simplify right side
    293.71x = 76,578.54
  5. Step 5: Solve for x
    x = 76,578.54/293.71
  6. Step 6: Final answer
    x = 260.73

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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.