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Finding the Fourth Proportional to 220.61, 330.95 and 90.61

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Solution

The fourth proportional to 220.61, 330.95 and 90.61 is: 135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.61 : 330.95 = 90.61 : x
  2. Step 2: Convert to fraction form
    220.61/330.95 = 90.61/x
  3. Step 3: Cross multiply
    220.61x = 330.95 × 90.61
  4. Step 4: Simplify right side
    220.61x = 29,986.10
  5. Step 5: Solve for x
    x = 29,986.10/220.61
  6. Step 6: Final answer
    x = 135.92

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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.