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Finding the Fourth Proportional to 199.53, 299.48 and 148.05

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Solution

The fourth proportional to 199.53, 299.48 and 148.05 is: 222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.53 : 299.48 = 148.05 : x
  2. Step 2: Convert to fraction form
    199.53/299.48 = 148.05/x
  3. Step 3: Cross multiply
    199.53x = 299.48 × 148.05
  4. Step 4: Simplify right side
    199.53x = 44,337.27
  5. Step 5: Solve for x
    x = 44,337.27/199.53
  6. Step 6: Final answer
    x = 222.21

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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.