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Finding the Fourth Proportional to 733.16, 1,099.74 and 177.86

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Solution

The fourth proportional to 733.16, 1,099.74 and 177.86 is: 266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.16 : 1,099.74 = 177.86 : x
  2. Step 2: Convert to fraction form
    733.16/1,099.74 = 177.86/x
  3. Step 3: Cross multiply
    733.16x = 1,099.74 × 177.86
  4. Step 4: Simplify right side
    733.16x = 195,604.23
  5. Step 5: Solve for x
    x = 195,604.23/733.16
  6. Step 6: Final answer
    x = 266.80

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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.