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Finding the Fourth Proportional to 216.18, 298.57 and 142.82

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Solution

The fourth proportional to 216.18, 298.57 and 142.82 is: 197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.18 : 298.57 = 142.82 : x
  2. Step 2: Convert to fraction form
    216.18/298.57 = 142.82/x
  3. Step 3: Cross multiply
    216.18x = 298.57 × 142.82
  4. Step 4: Simplify right side
    216.18x = 42,641.57
  5. Step 5: Solve for x
    x = 42,641.57/216.18
  6. Step 6: Final answer
    x = 197.25

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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.