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Finding the Fourth Proportional to 215.96, 298.02 and 128.60

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Solution

The fourth proportional to 215.96, 298.02 and 128.60 is: 177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.96 : 298.02 = 128.60 : x
  2. Step 2: Convert to fraction form
    215.96/298.02 = 128.60/x
  3. Step 3: Cross multiply
    215.96x = 298.02 × 128.60
  4. Step 4: Simplify right side
    215.96x = 38,325.37
  5. Step 5: Solve for x
    x = 38,325.37/215.96
  6. Step 6: Final answer
    x = 177.47

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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.