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Finding the Fourth Proportional to 215.97, 298.01 and 128.63

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Solution

The fourth proportional to 215.97, 298.01 and 128.63 is: 177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.97 : 298.01 = 128.63 : x
  2. Step 2: Convert to fraction form
    215.97/298.01 = 128.63/x
  3. Step 3: Cross multiply
    215.97x = 298.01 × 128.63
  4. Step 4: Simplify right side
    215.97x = 38,333.03
  5. Step 5: Solve for x
    x = 38,333.03/215.97
  6. Step 6: Final answer
    x = 177.49

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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.