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Finding the Fourth Proportional to 199.95, 299.94 and 178.23

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Solution

The fourth proportional to 199.95, 299.94 and 178.23 is: 267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.95 : 299.94 = 178.23 : x
  2. Step 2: Convert to fraction form
    199.95/299.94 = 178.23/x
  3. Step 3: Cross multiply
    199.95x = 299.94 × 178.23
  4. Step 4: Simplify right side
    199.95x = 53,458.31
  5. Step 5: Solve for x
    x = 53,458.31/199.95
  6. Step 6: Final answer
    x = 267.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.