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Finding the Fourth Proportional to 220.52, 328.95 and 188.22

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Solution

The fourth proportional to 220.52, 328.95 and 188.22 is: 280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.52 : 328.95 = 188.22 : x
  2. Step 2: Convert to fraction form
    220.52/328.95 = 188.22/x
  3. Step 3: Cross multiply
    220.52x = 328.95 × 188.22
  4. Step 4: Simplify right side
    220.52x = 61,914.97
  5. Step 5: Solve for x
    x = 61,914.97/220.52
  6. Step 6: Final answer
    x = 280.77

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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.