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Finding the Fourth Proportional to 264.18, 396.57 and 206.47

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Solution

The fourth proportional to 264.18, 396.57 and 206.47 is: 309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.18 : 396.57 = 206.47 : x
  2. Step 2: Convert to fraction form
    264.18/396.57 = 206.47/x
  3. Step 3: Cross multiply
    264.18x = 396.57 × 206.47
  4. Step 4: Simplify right side
    264.18x = 81,877.83
  5. Step 5: Solve for x
    x = 81,877.83/264.18
  6. Step 6: Final answer
    x = 309.93

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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.