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Finding the Fourth Proportional to 293.24, 404.51 and 210.17

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Solution

The fourth proportional to 293.24, 404.51 and 210.17 is: 289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.24 : 404.51 = 210.17 : x
  2. Step 2: Convert to fraction form
    293.24/404.51 = 210.17/x
  3. Step 3: Cross multiply
    293.24x = 404.51 × 210.17
  4. Step 4: Simplify right side
    293.24x = 85,012.79
  5. Step 5: Solve for x
    x = 85,012.79/293.24
  6. Step 6: Final answer
    x = 289.91

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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.