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Finding the Fourth Proportional to 230.71, 345.78 and 148.27

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Solution

The fourth proportional to 230.71, 345.78 and 148.27 is: 222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.71 : 345.78 = 148.27 : x
  2. Step 2: Convert to fraction form
    230.71/345.78 = 148.27/x
  3. Step 3: Cross multiply
    230.71x = 345.78 × 148.27
  4. Step 4: Simplify right side
    230.71x = 51,268.80
  5. Step 5: Solve for x
    x = 51,268.80/230.71
  6. Step 6: Final answer
    x = 222.22

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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.