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Finding the Fourth Proportional to 228.85, 345.26 and 217.46

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Solution

The fourth proportional to 228.85, 345.26 and 217.46 is: 328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.85 : 345.26 = 217.46 : x
  2. Step 2: Convert to fraction form
    228.85/345.26 = 217.46/x
  3. Step 3: Cross multiply
    228.85x = 345.26 × 217.46
  4. Step 4: Simplify right side
    228.85x = 75,081.65
  5. Step 5: Solve for x
    x = 75,081.65/228.85
  6. Step 6: Final answer
    x = 328.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.