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Finding the Fourth Proportional to 216.64, 298.96 and 158.52

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Solution

The fourth proportional to 216.64, 298.96 and 158.52 is: 218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.64 : 298.96 = 158.52 : x
  2. Step 2: Convert to fraction form
    216.64/298.96 = 158.52/x
  3. Step 3: Cross multiply
    216.64x = 298.96 × 158.52
  4. Step 4: Simplify right side
    216.64x = 47,391.14
  5. Step 5: Solve for x
    x = 47,391.14/216.64
  6. Step 6: Final answer
    x = 218.76

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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.