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Finding the Fourth Proportional to 199.66, 299.23 and 147.90

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Solution

The fourth proportional to 199.66, 299.23 and 147.90 is: 221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.66 : 299.23 = 147.90 : x
  2. Step 2: Convert to fraction form
    199.66/299.23 = 147.90/x
  3. Step 3: Cross multiply
    199.66x = 299.23 × 147.90
  4. Step 4: Simplify right side
    199.66x = 44,256.12
  5. Step 5: Solve for x
    x = 44,256.12/199.66
  6. Step 6: Final answer
    x = 221.66

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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.