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Finding the Fourth Proportional to 443.86, 665.89 and 135.74

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Solution

The fourth proportional to 443.86, 665.89 and 135.74 is: 203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.86 : 665.89 = 135.74 : x
  2. Step 2: Convert to fraction form
    443.86/665.89 = 135.74/x
  3. Step 3: Cross multiply
    443.86x = 665.89 × 135.74
  4. Step 4: Simplify right side
    443.86x = 90,385.74
  5. Step 5: Solve for x
    x = 90,385.74/443.86
  6. Step 6: Final answer
    x = 203.64

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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.