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Finding the Fourth Proportional to 215.93, 298.14 and 133.16

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Solution

The fourth proportional to 215.93, 298.14 and 133.16 is: 183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.93 : 298.14 = 133.16 : x
  2. Step 2: Convert to fraction form
    215.93/298.14 = 133.16/x
  3. Step 3: Cross multiply
    215.93x = 298.14 × 133.16
  4. Step 4: Simplify right side
    215.93x = 39,698.83
  5. Step 5: Solve for x
    x = 39,698.83/215.93
  6. Step 6: Final answer
    x = 183.85

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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.