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Finding the Fourth Proportional to 228.29, 341.98 and 199.06

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Solution

The fourth proportional to 228.29, 341.98 and 199.06 is: 298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.29 : 341.98 = 199.06 : x
  2. Step 2: Convert to fraction form
    228.29/341.98 = 199.06/x
  3. Step 3: Cross multiply
    228.29x = 341.98 × 199.06
  4. Step 4: Simplify right side
    228.29x = 68,073.19
  5. Step 5: Solve for x
    x = 68,073.19/228.29
  6. Step 6: Final answer
    x = 298.19

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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.