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Finding the Fourth Proportional to 216.50, 298.77 and 142.94

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Solution

The fourth proportional to 216.50, 298.77 and 142.94 is: 197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.50 : 298.77 = 142.94 : x
  2. Step 2: Convert to fraction form
    216.50/298.77 = 142.94/x
  3. Step 3: Cross multiply
    216.50x = 298.77 × 142.94
  4. Step 4: Simplify right side
    216.50x = 42,706.18
  5. Step 5: Solve for x
    x = 42,706.18/216.50
  6. Step 6: Final answer
    x = 197.26

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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.