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Finding the Fourth Proportional to 228.96, 341.40 and 196.32

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Solution

The fourth proportional to 228.96, 341.40 and 196.32 is: 292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.96 : 341.40 = 196.32 : x
  2. Step 2: Convert to fraction form
    228.96/341.40 = 196.32/x
  3. Step 3: Cross multiply
    228.96x = 341.40 × 196.32
  4. Step 4: Simplify right side
    228.96x = 67,023.65
  5. Step 5: Solve for x
    x = 67,023.65/228.96
  6. Step 6: Final answer
    x = 292.73

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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.