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Finding the Fourth Proportional to 295.21, 441.91 and 192.27

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Solution

The fourth proportional to 295.21, 441.91 and 192.27 is: 287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.21 : 441.91 = 192.27 : x
  2. Step 2: Convert to fraction form
    295.21/441.91 = 192.27/x
  3. Step 3: Cross multiply
    295.21x = 441.91 × 192.27
  4. Step 4: Simplify right side
    295.21x = 84,966.04
  5. Step 5: Solve for x
    x = 84,966.04/295.21
  6. Step 6: Final answer
    x = 287.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.