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Finding the Fourth Proportional to 264.90, 365.13 and 206.58

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Solution

The fourth proportional to 264.90, 365.13 and 206.58 is: 284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.90 : 365.13 = 206.58 : x
  2. Step 2: Convert to fraction form
    264.90/365.13 = 206.58/x
  3. Step 3: Cross multiply
    264.90x = 365.13 × 206.58
  4. Step 4: Simplify right side
    264.90x = 75,428.56
  5. Step 5: Solve for x
    x = 75,428.56/264.90
  6. Step 6: Final answer
    x = 284.74

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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.