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Finding the Fourth Proportional to 293.27, 404.95 and 210.50

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Solution

The fourth proportional to 293.27, 404.95 and 210.50 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.27 : 404.95 = 210.50 : x
  2. Step 2: Convert to fraction form
    293.27/404.95 = 210.50/x
  3. Step 3: Cross multiply
    293.27x = 404.95 × 210.50
  4. Step 4: Simplify right side
    293.27x = 85,241.34
  5. Step 5: Solve for x
    x = 85,241.34/293.27
  6. Step 6: Final answer
    x = 290.66

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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.