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Finding the Fourth Proportional to 443.05, 664.53 and 182.98

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Solution

The fourth proportional to 443.05, 664.53 and 182.98 is: 274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.05 : 664.53 = 182.98 : x
  2. Step 2: Convert to fraction form
    443.05/664.53 = 182.98/x
  3. Step 3: Cross multiply
    443.05x = 664.53 × 182.98
  4. Step 4: Simplify right side
    443.05x = 121,595.70
  5. Step 5: Solve for x
    x = 121,595.70/443.05
  6. Step 6: Final answer
    x = 274.45

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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.