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Finding the Fourth Proportional to 443.53, 665.30 and 135.46

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Solution

The fourth proportional to 443.53, 665.30 and 135.46 is: 203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.53 : 665.30 = 135.46 : x
  2. Step 2: Convert to fraction form
    443.53/665.30 = 135.46/x
  3. Step 3: Cross multiply
    443.53x = 665.30 × 135.46
  4. Step 4: Simplify right side
    443.53x = 90,121.54
  5. Step 5: Solve for x
    x = 90,121.54/443.53
  6. Step 6: Final answer
    x = 203.19

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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.