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Finding the Fourth Proportional to 230.55, 345.81 and 57.22

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Solution

The fourth proportional to 230.55, 345.81 and 57.22 is: 85.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.55 : 345.81 = 57.22 : x
  2. Step 2: Convert to fraction form
    230.55/345.81 = 57.22/x
  3. Step 3: Cross multiply
    230.55x = 345.81 × 57.22
  4. Step 4: Simplify right side
    230.55x = 19,785.52
  5. Step 5: Solve for x
    x = 19,785.52/230.55
  6. Step 6: Final answer
    x = 85.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.