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Finding the Fourth Proportional to 220.98, 304.86 and 138.07

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Solution

The fourth proportional to 220.98, 304.86 and 138.07 is: 190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.98 : 304.86 = 138.07 : x
  2. Step 2: Convert to fraction form
    220.98/304.86 = 138.07/x
  3. Step 3: Cross multiply
    220.98x = 304.86 × 138.07
  4. Step 4: Simplify right side
    220.98x = 42,092.02
  5. Step 5: Solve for x
    x = 42,092.02/220.98
  6. Step 6: Final answer
    x = 190.48

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