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Finding the Fourth Proportional to 216.72, 298.86 and 143.04

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Solution

The fourth proportional to 216.72, 298.86 and 143.04 is: 197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.72 : 298.86 = 143.04 : x
  2. Step 2: Convert to fraction form
    216.72/298.86 = 143.04/x
  3. Step 3: Cross multiply
    216.72x = 298.86 × 143.04
  4. Step 4: Simplify right side
    216.72x = 42,748.93
  5. Step 5: Solve for x
    x = 42,748.93/216.72
  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.