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Finding the Fourth Proportional to 295.70, 443.82 and 149.55

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Solution

The fourth proportional to 295.70, 443.82 and 149.55 is: 224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.70 : 443.82 = 149.55 : x
  2. Step 2: Convert to fraction form
    295.70/443.82 = 149.55/x
  3. Step 3: Cross multiply
    295.70x = 443.82 × 149.55
  4. Step 4: Simplify right side
    295.70x = 66,373.46
  5. Step 5: Solve for x
    x = 66,373.46/295.70
  6. Step 6: Final answer
    x = 224.46

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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.