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Finding the Fourth Proportional to 199.90, 275.67 and 157.81

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Solution

The fourth proportional to 199.90, 275.67 and 157.81 is: 217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.90 : 275.67 = 157.81 : x
  2. Step 2: Convert to fraction form
    199.90/275.67 = 157.81/x
  3. Step 3: Cross multiply
    199.90x = 275.67 × 157.81
  4. Step 4: Simplify right side
    199.90x = 43,503.48
  5. Step 5: Solve for x
    x = 43,503.48/199.90
  6. Step 6: Final answer
    x = 217.63

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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.