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Finding the Fourth Proportional to 220.06, 303.66 and 146.24

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Solution

The fourth proportional to 220.06, 303.66 and 146.24 is: 201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.06 : 303.66 = 146.24 : x
  2. Step 2: Convert to fraction form
    220.06/303.66 = 146.24/x
  3. Step 3: Cross multiply
    220.06x = 303.66 × 146.24
  4. Step 4: Simplify right side
    220.06x = 44,407.24
  5. Step 5: Solve for x
    x = 44,407.24/220.06
  6. Step 6: Final answer
    x = 201.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.