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Finding the Fourth Proportional to 199.62, 275.52 and 150.66

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Solution

The fourth proportional to 199.62, 275.52 and 150.66 is: 207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.62 : 275.52 = 150.66 : x
  2. Step 2: Convert to fraction form
    199.62/275.52 = 150.66/x
  3. Step 3: Cross multiply
    199.62x = 275.52 × 150.66
  4. Step 4: Simplify right side
    199.62x = 41,509.84
  5. Step 5: Solve for x
    x = 41,509.84/199.62
  6. Step 6: Final answer
    x = 207.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.