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Finding the Fourth Proportional to 199.71, 275.81 and 162.99

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Solution

The fourth proportional to 199.71, 275.81 and 162.99 is: 225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.71 : 275.81 = 162.99 : x
  2. Step 2: Convert to fraction form
    199.71/275.81 = 162.99/x
  3. Step 3: Cross multiply
    199.71x = 275.81 × 162.99
  4. Step 4: Simplify right side
    199.71x = 44,953.46
  5. Step 5: Solve for x
    x = 44,953.46/199.71
  6. Step 6: Final answer
    x = 225.09

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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.