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Finding the Fourth Proportional to 216.70, 299.15 and 143.13

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Solution

The fourth proportional to 216.70, 299.15 and 143.13 is: 197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.70 : 299.15 = 143.13 : x
  2. Step 2: Convert to fraction form
    216.70/299.15 = 143.13/x
  3. Step 3: Cross multiply
    216.70x = 299.15 × 143.13
  4. Step 4: Simplify right side
    216.70x = 42,817.34
  5. Step 5: Solve for x
    x = 42,817.34/216.70
  6. Step 6: Final answer
    x = 197.59

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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.