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Finding the Fourth Proportional to 264.23, 364.46 and 206.15

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Solution

The fourth proportional to 264.23, 364.46 and 206.15 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.23 : 364.46 = 206.15 : x
  2. Step 2: Convert to fraction form
    264.23/364.46 = 206.15/x
  3. Step 3: Cross multiply
    264.23x = 364.46 × 206.15
  4. Step 4: Simplify right side
    264.23x = 75,131.61
  5. Step 5: Solve for x
    x = 75,131.61/264.23
  6. Step 6: Final answer
    x = 284.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.