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Finding the Fourth Proportional to 215.76, 297.72 and 138.24

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Solution

The fourth proportional to 215.76, 297.72 and 138.24 is: 190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.76 : 297.72 = 138.24 : x
  2. Step 2: Convert to fraction form
    215.76/297.72 = 138.24/x
  3. Step 3: Cross multiply
    215.76x = 297.72 × 138.24
  4. Step 4: Simplify right side
    215.76x = 41,156.81
  5. Step 5: Solve for x
    x = 41,156.81/215.76
  6. Step 6: Final answer
    x = 190.75

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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.