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Finding the Fourth Proportional to 199.32, 274.70 and 150.08

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Solution

The fourth proportional to 199.32, 274.70 and 150.08 is: 206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.32 : 274.70 = 150.08 : x
  2. Step 2: Convert to fraction form
    199.32/274.70 = 150.08/x
  3. Step 3: Cross multiply
    199.32x = 274.70 × 150.08
  4. Step 4: Simplify right side
    199.32x = 41,226.98
  5. Step 5: Solve for x
    x = 41,226.98/199.32
  6. Step 6: Final answer
    x = 206.84

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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.