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Finding the Fourth Proportional to 215.92, 298.14 and 142.20

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Solution

The fourth proportional to 215.92, 298.14 and 142.20 is: 196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.92 : 298.14 = 142.20 : x
  2. Step 2: Convert to fraction form
    215.92/298.14 = 142.20/x
  3. Step 3: Cross multiply
    215.92x = 298.14 × 142.20
  4. Step 4: Simplify right side
    215.92x = 42,395.51
  5. Step 5: Solve for x
    x = 42,395.51/215.92
  6. Step 6: Final answer
    x = 196.35

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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.