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Finding the Fourth Proportional to 216.57, 298.84 and 158.25

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Solution

The fourth proportional to 216.57, 298.84 and 158.25 is: 218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.57 : 298.84 = 158.25 : x
  2. Step 2: Convert to fraction form
    216.57/298.84 = 158.25/x
  3. Step 3: Cross multiply
    216.57x = 298.84 × 158.25
  4. Step 4: Simplify right side
    216.57x = 47,291.43
  5. Step 5: Solve for x
    x = 47,291.43/216.57
  6. Step 6: Final answer
    x = 218.37

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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.