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Finding the Fourth Proportional to 199.36, 298.71 and 118.10

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Solution

The fourth proportional to 199.36, 298.71 and 118.10 is: 176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.36 : 298.71 = 118.10 : x
  2. Step 2: Convert to fraction form
    199.36/298.71 = 118.10/x
  3. Step 3: Cross multiply
    199.36x = 298.71 × 118.10
  4. Step 4: Simplify right side
    199.36x = 35,277.65
  5. Step 5: Solve for x
    x = 35,277.65/199.36
  6. Step 6: Final answer
    x = 176.96

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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.