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Finding the Fourth Proportional to 264.17, 396.07 and 142.31

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Solution

The fourth proportional to 264.17, 396.07 and 142.31 is: 213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.17 : 396.07 = 142.31 : x
  2. Step 2: Convert to fraction form
    264.17/396.07 = 142.31/x
  3. Step 3: Cross multiply
    264.17x = 396.07 × 142.31
  4. Step 4: Simplify right side
    264.17x = 56,364.72
  5. Step 5: Solve for x
    x = 56,364.72/264.17
  6. Step 6: Final answer
    x = 213.37

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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.