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Finding the Fourth Proportional to 199.38, 298.60 and 192.57

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Solution

The fourth proportional to 199.38, 298.60 and 192.57 is: 288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.38 : 298.60 = 192.57 : x
  2. Step 2: Convert to fraction form
    199.38/298.60 = 192.57/x
  3. Step 3: Cross multiply
    199.38x = 298.60 × 192.57
  4. Step 4: Simplify right side
    199.38x = 57,501.40
  5. Step 5: Solve for x
    x = 57,501.40/199.38
  6. Step 6: Final answer
    x = 288.40

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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.