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Finding the Fourth Proportional to 264.02, 396 and 71.66

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Solution

The fourth proportional to 264.02, 396 and 71.66 is: 107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.02 : 396 = 71.66 : x
  2. Step 2: Convert to fraction form
    264.02/396 = 71.66/x
  3. Step 3: Cross multiply
    264.02x = 396 × 71.66
  4. Step 4: Simplify right side
    264.02x = 28,377.36
  5. Step 5: Solve for x
    x = 28,377.36/264.02
  6. Step 6: Final answer
    x = 107.48

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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.