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Finding the Fourth Proportional to 264.06, 395.22 and 240.07

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Solution

The fourth proportional to 264.06, 395.22 and 240.07 is: 359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.06 : 395.22 = 240.07 : x
  2. Step 2: Convert to fraction form
    264.06/395.22 = 240.07/x
  3. Step 3: Cross multiply
    264.06x = 395.22 × 240.07
  4. Step 4: Simplify right side
    264.06x = 94,880.47
  5. Step 5: Solve for x
    x = 94,880.47/264.06
  6. Step 6: Final answer
    x = 359.31

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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.