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Finding the Fourth Proportional to 295.90, 443.68 and 149.68

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Solution

The fourth proportional to 295.90, 443.68 and 149.68 is: 224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.90 : 443.68 = 149.68 : x
  2. Step 2: Convert to fraction form
    295.90/443.68 = 149.68/x
  3. Step 3: Cross multiply
    295.90x = 443.68 × 149.68
  4. Step 4: Simplify right side
    295.90x = 66,410.02
  5. Step 5: Solve for x
    x = 66,410.02/295.90
  6. Step 6: Final answer
    x = 224.43

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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.