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Finding the Fourth Proportional to 199.24, 297.12 and 177.11

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Solution

The fourth proportional to 199.24, 297.12 and 177.11 is: 264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.24 : 297.12 = 177.11 : x
  2. Step 2: Convert to fraction form
    199.24/297.12 = 177.11/x
  3. Step 3: Cross multiply
    199.24x = 297.12 × 177.11
  4. Step 4: Simplify right side
    199.24x = 52,622.18
  5. Step 5: Solve for x
    x = 52,622.18/199.24
  6. Step 6: Final answer
    x = 264.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.