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Finding the Fourth Proportional to 295.83, 443.81 and 149.22

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Solution

The fourth proportional to 295.83, 443.81 and 149.22 is: 223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.83 : 443.81 = 149.22 : x
  2. Step 2: Convert to fraction form
    295.83/443.81 = 149.22/x
  3. Step 3: Cross multiply
    295.83x = 443.81 × 149.22
  4. Step 4: Simplify right side
    295.83x = 66,223.11
  5. Step 5: Solve for x
    x = 66,223.11/295.83
  6. Step 6: Final answer
    x = 223.86

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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.