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Finding the Fourth Proportional to 228.97, 341.66 and 204.42

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Solution

The fourth proportional to 228.97, 341.66 and 204.42 is: 305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.97 : 341.66 = 204.42 : x
  2. Step 2: Convert to fraction form
    228.97/341.66 = 204.42/x
  3. Step 3: Cross multiply
    228.97x = 341.66 × 204.42
  4. Step 4: Simplify right side
    228.97x = 69,841.12
  5. Step 5: Solve for x
    x = 69,841.12/228.97
  6. Step 6: Final answer
    x = 305.03

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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.