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Finding the Fourth Proportional to 356.64, 492.15 and 209.23

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Solution

The fourth proportional to 356.64, 492.15 and 209.23 is: 288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.64 : 492.15 = 209.23 : x
  2. Step 2: Convert to fraction form
    356.64/492.15 = 209.23/x
  3. Step 3: Cross multiply
    356.64x = 492.15 × 209.23
  4. Step 4: Simplify right side
    356.64x = 102,972.54
  5. Step 5: Solve for x
    x = 102,972.54/356.64
  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.