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Finding the Fourth Proportional to 220.34, 330.42 and 83.36

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Solution

The fourth proportional to 220.34, 330.42 and 83.36 is: 125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.34 : 330.42 = 83.36 : x
  2. Step 2: Convert to fraction form
    220.34/330.42 = 83.36/x
  3. Step 3: Cross multiply
    220.34x = 330.42 × 83.36
  4. Step 4: Simplify right side
    220.34x = 27,543.81
  5. Step 5: Solve for x
    x = 27,543.81/220.34
  6. Step 6: Final answer
    x = 125.01

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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.