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Finding the Fourth Proportional to 443.95, 665.93 and 135.84

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Solution

The fourth proportional to 443.95, 665.93 and 135.84 is: 203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.95 : 665.93 = 135.84 : x
  2. Step 2: Convert to fraction form
    443.95/665.93 = 135.84/x
  3. Step 3: Cross multiply
    443.95x = 665.93 × 135.84
  4. Step 4: Simplify right side
    443.95x = 90,459.93
  5. Step 5: Solve for x
    x = 90,459.93/443.95
  6. Step 6: Final answer
    x = 203.76

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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.