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Finding the Fourth Proportional to 275.52, 412.70 and 183.92

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Solution

The fourth proportional to 275.52, 412.70 and 183.92 is: 275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.52 : 412.70 = 183.92 : x
  2. Step 2: Convert to fraction form
    275.52/412.70 = 183.92/x
  3. Step 3: Cross multiply
    275.52x = 412.70 × 183.92
  4. Step 4: Simplify right side
    275.52x = 75,903.78
  5. Step 5: Solve for x
    x = 75,903.78/275.52
  6. Step 6: Final answer
    x = 275.49

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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.