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Finding the Fourth Proportional to 443.50, 665.16 and 118.88

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Solution

The fourth proportional to 443.50, 665.16 and 118.88 is: 178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.50 : 665.16 = 118.88 : x
  2. Step 2: Convert to fraction form
    443.50/665.16 = 118.88/x
  3. Step 3: Cross multiply
    443.50x = 665.16 × 118.88
  4. Step 4: Simplify right side
    443.50x = 79,074.22
  5. Step 5: Solve for x
    x = 79,074.22/443.50
  6. Step 6: Final answer
    x = 178.30

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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.