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Finding the Fourth Proportional to 199.87, 275.81 and 178.00

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Solution

The fourth proportional to 199.87, 275.81 and 178.00 is: 245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.87 : 275.81 = 178.00 : x
  2. Step 2: Convert to fraction form
    199.87/275.81 = 178.00/x
  3. Step 3: Cross multiply
    199.87x = 275.81 × 178.00
  4. Step 4: Simplify right side
    199.87x = 49,092.60
  5. Step 5: Solve for x
    x = 49,092.60/199.87
  6. Step 6: Final answer
    x = 245.63

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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.