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Finding the Fourth Proportional to 199.28, 275.03 and 152.57

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Solution

The fourth proportional to 199.28, 275.03 and 152.57 is: 210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.28 : 275.03 = 152.57 : x
  2. Step 2: Convert to fraction form
    199.28/275.03 = 152.57/x
  3. Step 3: Cross multiply
    199.28x = 275.03 × 152.57
  4. Step 4: Simplify right side
    199.28x = 41,961.33
  5. Step 5: Solve for x
    x = 41,961.33/199.28
  6. Step 6: Final answer
    x = 210.56

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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.