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Finding the Fourth Proportional to 199.04, 297.17 and 164.87

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Solution

The fourth proportional to 199.04, 297.17 and 164.87 is: 246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.04 : 297.17 = 164.87 : x
  2. Step 2: Convert to fraction form
    199.04/297.17 = 164.87/x
  3. Step 3: Cross multiply
    199.04x = 297.17 × 164.87
  4. Step 4: Simplify right side
    199.04x = 48,992.11
  5. Step 5: Solve for x
    x = 48,992.11/199.04
  6. Step 6: Final answer
    x = 246.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.