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Finding the Fourth Proportional to 225.76, 309.29 and 217.45

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Solution

The fourth proportional to 225.76, 309.29 and 217.45 is: 297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.76 : 309.29 = 217.45 : x
  2. Step 2: Convert to fraction form
    225.76/309.29 = 217.45/x
  3. Step 3: Cross multiply
    225.76x = 309.29 × 217.45
  4. Step 4: Simplify right side
    225.76x = 67,255.11
  5. Step 5: Solve for x
    x = 67,255.11/225.76
  6. Step 6: Final answer
    x = 297.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.