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Finding the Fourth Proportional to 215.87, 297.87 and 142.07

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Solution

The fourth proportional to 215.87, 297.87 and 142.07 is: 196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.87 : 297.87 = 142.07 : x
  2. Step 2: Convert to fraction form
    215.87/297.87 = 142.07/x
  3. Step 3: Cross multiply
    215.87x = 297.87 × 142.07
  4. Step 4: Simplify right side
    215.87x = 42,316.90
  5. Step 5: Solve for x
    x = 42,316.90/215.87
  6. Step 6: Final answer
    x = 196.03

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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.