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Finding the Fourth Proportional to 293.92, 405.18 and 211.01

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Solution

The fourth proportional to 293.92, 405.18 and 211.01 is: 290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.92 : 405.18 = 211.01 : x
  2. Step 2: Convert to fraction form
    293.92/405.18 = 211.01/x
  3. Step 3: Cross multiply
    293.92x = 405.18 × 211.01
  4. Step 4: Simplify right side
    293.92x = 85,495.01
  5. Step 5: Solve for x
    x = 85,495.01/293.92
  6. Step 6: Final answer
    x = 290.88

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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.