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Finding the Fourth Proportional to 567.92, 852.04 and 183.20

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Solution

The fourth proportional to 567.92, 852.04 and 183.20 is: 274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.92 : 852.04 = 183.20 : x
  2. Step 2: Convert to fraction form
    567.92/852.04 = 183.20/x
  3. Step 3: Cross multiply
    567.92x = 852.04 × 183.20
  4. Step 4: Simplify right side
    567.92x = 156,093.73
  5. Step 5: Solve for x
    x = 156,093.73/567.92
  6. Step 6: Final answer
    x = 274.85

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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.