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Finding the Fourth Proportional to 199.88, 275.63 and 162.92

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Solution

The fourth proportional to 199.88, 275.63 and 162.92 is: 224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.88 : 275.63 = 162.92 : x
  2. Step 2: Convert to fraction form
    199.88/275.63 = 162.92/x
  3. Step 3: Cross multiply
    199.88x = 275.63 × 162.92
  4. Step 4: Simplify right side
    199.88x = 44,904.48
  5. Step 5: Solve for x
    x = 44,904.48/199.88
  6. Step 6: Final answer
    x = 224.66

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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.