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Finding the Fourth Proportional to 220.39, 303.98 and 133.01

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Solution

The fourth proportional to 220.39, 303.98 and 133.01 is: 183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.39 : 303.98 = 133.01 : x
  2. Step 2: Convert to fraction form
    220.39/303.98 = 133.01/x
  3. Step 3: Cross multiply
    220.39x = 303.98 × 133.01
  4. Step 4: Simplify right side
    220.39x = 40,432.38
  5. Step 5: Solve for x
    x = 40,432.38/220.39
  6. Step 6: Final answer
    x = 183.46

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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.