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Finding the Fourth Proportional to 199.83, 275.49 and 162.57

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Solution

The fourth proportional to 199.83, 275.49 and 162.57 is: 224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.83 : 275.49 = 162.57 : x
  2. Step 2: Convert to fraction form
    199.83/275.49 = 162.57/x
  3. Step 3: Cross multiply
    199.83x = 275.49 × 162.57
  4. Step 4: Simplify right side
    199.83x = 44,786.41
  5. Step 5: Solve for x
    x = 44,786.41/199.83
  6. Step 6: Final answer
    x = 224.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.