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Finding the Fourth Proportional to 264.36, 364.80 and 209.23

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Solution

The fourth proportional to 264.36, 364.80 and 209.23 is: 288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.36 : 364.80 = 209.23 : x
  2. Step 2: Convert to fraction form
    264.36/364.80 = 209.23/x
  3. Step 3: Cross multiply
    264.36x = 364.80 × 209.23
  4. Step 4: Simplify right side
    264.36x = 76,329.03
  5. Step 5: Solve for x
    x = 76,329.03/264.36
  6. Step 6: Final answer
    x = 288.73

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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.