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Finding the Fourth Proportional to 264.86, 364.71 and 209.42

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Solution

The fourth proportional to 264.86, 364.71 and 209.42 is: 288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.86 : 364.71 = 209.42 : x
  2. Step 2: Convert to fraction form
    264.86/364.71 = 209.42/x
  3. Step 3: Cross multiply
    264.86x = 364.71 × 209.42
  4. Step 4: Simplify right side
    264.86x = 76,377.57
  5. Step 5: Solve for x
    x = 76,377.57/264.86
  6. Step 6: Final answer
    x = 288.37

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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.