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Finding the Fourth Proportional to 293.71, 405.14 and 210.94

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Solution

The fourth proportional to 293.71, 405.14 and 210.94 is: 290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.71 : 405.14 = 210.94 : x
  2. Step 2: Convert to fraction form
    293.71/405.14 = 210.94/x
  3. Step 3: Cross multiply
    293.71x = 405.14 × 210.94
  4. Step 4: Simplify right side
    293.71x = 85,460.23
  5. Step 5: Solve for x
    x = 85,460.23/293.71
  6. Step 6: Final answer
    x = 290.97

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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.