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Finding the Fourth Proportional to 231.54, 346.77 and 150.27

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Solution

The fourth proportional to 231.54, 346.77 and 150.27 is: 225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.54 : 346.77 = 150.27 : x
  2. Step 2: Convert to fraction form
    231.54/346.77 = 150.27/x
  3. Step 3: Cross multiply
    231.54x = 346.77 × 150.27
  4. Step 4: Simplify right side
    231.54x = 52,109.13
  5. Step 5: Solve for x
    x = 52,109.13/231.54
  6. Step 6: Final answer
    x = 225.05

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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.