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Finding the Fourth Proportional to 264.75, 365.37 and 148.31

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Solution

The fourth proportional to 264.75, 365.37 and 148.31 is: 204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.75 : 365.37 = 148.31 : x
  2. Step 2: Convert to fraction form
    264.75/365.37 = 148.31/x
  3. Step 3: Cross multiply
    264.75x = 365.37 × 148.31
  4. Step 4: Simplify right side
    264.75x = 54,188.94
  5. Step 5: Solve for x
    x = 54,188.94/264.75
  6. Step 6: Final answer
    x = 204.68

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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.