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Finding the Fourth Proportional to 295.83, 408.24 and 164.84

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Solution

The fourth proportional to 295.83, 408.24 and 164.84 is: 227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.83 : 408.24 = 164.84 : x
  2. Step 2: Convert to fraction form
    295.83/408.24 = 164.84/x
  3. Step 3: Cross multiply
    295.83x = 408.24 × 164.84
  4. Step 4: Simplify right side
    295.83x = 67,292.24
  5. Step 5: Solve for x
    x = 67,292.24/295.83
  6. Step 6: Final answer
    x = 227.47

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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.