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Finding the Fourth Proportional to 199.02, 297.84 and 181.53

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Solution

The fourth proportional to 199.02, 297.84 and 181.53 is: 271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.02 : 297.84 = 181.53 : x
  2. Step 2: Convert to fraction form
    199.02/297.84 = 181.53/x
  3. Step 3: Cross multiply
    199.02x = 297.84 × 181.53
  4. Step 4: Simplify right side
    199.02x = 54,066.90
  5. Step 5: Solve for x
    x = 54,066.90/199.02
  6. Step 6: Final answer
    x = 271.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.