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Finding the Fourth Proportional to 215.71, 321.72 and 183.42

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Solution

The fourth proportional to 215.71, 321.72 and 183.42 is: 273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.71 : 321.72 = 183.42 : x
  2. Step 2: Convert to fraction form
    215.71/321.72 = 183.42/x
  3. Step 3: Cross multiply
    215.71x = 321.72 × 183.42
  4. Step 4: Simplify right side
    215.71x = 59,009.19
  5. Step 5: Solve for x
    x = 59,009.19/215.71
  6. Step 6: Final answer
    x = 273.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.