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Finding the Fourth Proportional to 228.09, 341.67 and 193.92

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Solution

The fourth proportional to 228.09, 341.67 and 193.92 is: 290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.09 : 341.67 = 193.92 : x
  2. Step 2: Convert to fraction form
    228.09/341.67 = 193.92/x
  3. Step 3: Cross multiply
    228.09x = 341.67 × 193.92
  4. Step 4: Simplify right side
    228.09x = 66,256.65
  5. Step 5: Solve for x
    x = 66,256.65/228.09
  6. Step 6: Final answer
    x = 290.48

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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.