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Finding the Fourth Proportional to 220.71, 331.07 and 152.17

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Solution

The fourth proportional to 220.71, 331.07 and 152.17 is: 228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.71 : 331.07 = 152.17 : x
  2. Step 2: Convert to fraction form
    220.71/331.07 = 152.17/x
  3. Step 3: Cross multiply
    220.71x = 331.07 × 152.17
  4. Step 4: Simplify right side
    220.71x = 50,378.92
  5. Step 5: Solve for x
    x = 50,378.92/220.71
  6. Step 6: Final answer
    x = 228.26

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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.