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Finding the Fourth Proportional to 216.78, 298.86 and 142.98

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Solution

The fourth proportional to 216.78, 298.86 and 142.98 is: 197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.78 : 298.86 = 142.98 : x
  2. Step 2: Convert to fraction form
    216.78/298.86 = 142.98/x
  3. Step 3: Cross multiply
    216.78x = 298.86 × 142.98
  4. Step 4: Simplify right side
    216.78x = 42,731.00
  5. Step 5: Solve for x
    x = 42,731.00/216.78
  6. Step 6: Final answer
    x = 197.12

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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.