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Finding the Fourth Proportional to 220.16, 329.80 and 133.51

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Solution

The fourth proportional to 220.16, 329.80 and 133.51 is: 200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.16 : 329.80 = 133.51 : x
  2. Step 2: Convert to fraction form
    220.16/329.80 = 133.51/x
  3. Step 3: Cross multiply
    220.16x = 329.80 × 133.51
  4. Step 4: Simplify right side
    220.16x = 44,031.60
  5. Step 5: Solve for x
    x = 44,031.60/220.16
  6. Step 6: Final answer
    x = 200.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.