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Finding the Fourth Proportional to 240, 360.36 and 231.27

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Solution

The fourth proportional to 240, 360.36 and 231.27 is: 347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    240 : 360.36 = 231.27 : x
  2. Step 2: Convert to fraction form
    240/360.36 = 231.27/x
  3. Step 3: Cross multiply
    240x = 360.36 × 231.27
  4. Step 4: Simplify right side
    240x = 83,340.46
  5. Step 5: Solve for x
    x = 83,340.46/240
  6. Step 6: Final answer
    x = 347.25

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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.