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Finding the Fourth Proportional to 199.90, 299.67 and 117.55

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Solution

The fourth proportional to 199.90, 299.67 and 117.55 is: 176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.90 : 299.67 = 117.55 : x
  2. Step 2: Convert to fraction form
    199.90/299.67 = 117.55/x
  3. Step 3: Cross multiply
    199.90x = 299.67 × 117.55
  4. Step 4: Simplify right side
    199.90x = 35,226.21
  5. Step 5: Solve for x
    x = 35,226.21/199.90
  6. Step 6: Final answer
    x = 176.22

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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.