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Finding the Fourth Proportional to 199.32, 274.67 and 152.75

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Solution

The fourth proportional to 199.32, 274.67 and 152.75 is: 210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.32 : 274.67 = 152.75 : x
  2. Step 2: Convert to fraction form
    199.32/274.67 = 152.75/x
  3. Step 3: Cross multiply
    199.32x = 274.67 × 152.75
  4. Step 4: Simplify right side
    199.32x = 41,955.84
  5. Step 5: Solve for x
    x = 41,955.84/199.32
  6. Step 6: Final answer
    x = 210.49

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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.