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Finding the Fourth Proportional to 215.24, 297.06 and 137.84

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Solution

The fourth proportional to 215.24, 297.06 and 137.84 is: 190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 297.06 = 137.84 : x
  2. Step 2: Convert to fraction form
    215.24/297.06 = 137.84/x
  3. Step 3: Cross multiply
    215.24x = 297.06 × 137.84
  4. Step 4: Simplify right side
    215.24x = 40,946.75
  5. Step 5: Solve for x
    x = 40,946.75/215.24
  6. Step 6: Final answer
    x = 190.24

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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.