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Finding the Fourth Proportional to 216, 298.15 and 142.29

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Solution

The fourth proportional to 216, 298.15 and 142.29 is: 196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216 : 298.15 = 142.29 : x
  2. Step 2: Convert to fraction form
    216/298.15 = 142.29/x
  3. Step 3: Cross multiply
    216x = 298.15 × 142.29
  4. Step 4: Simplify right side
    216x = 42,423.41
  5. Step 5: Solve for x
    x = 42,423.41/216
  6. Step 6: Final answer
    x = 196.40

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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.