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Finding the Fourth Proportional to 215.83, 297.85 and 122.58

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Solution

The fourth proportional to 215.83, 297.85 and 122.58 is: 169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.83 : 297.85 = 122.58 : x
  2. Step 2: Convert to fraction form
    215.83/297.85 = 122.58/x
  3. Step 3: Cross multiply
    215.83x = 297.85 × 122.58
  4. Step 4: Simplify right side
    215.83x = 36,510.45
  5. Step 5: Solve for x
    x = 36,510.45/215.83
  6. Step 6: Final answer
    x = 169.16

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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.