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Finding the Fourth Proportional to 216.31, 298.41 and 128.96

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Solution

The fourth proportional to 216.31, 298.41 and 128.96 is: 177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.31 : 298.41 = 128.96 : x
  2. Step 2: Convert to fraction form
    216.31/298.41 = 128.96/x
  3. Step 3: Cross multiply
    216.31x = 298.41 × 128.96
  4. Step 4: Simplify right side
    216.31x = 38,482.95
  5. Step 5: Solve for x
    x = 38,482.95/216.31
  6. Step 6: Final answer
    x = 177.91

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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.