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Finding the Fourth Proportional to 356.66, 492.17 and 209.37

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Solution

The fourth proportional to 356.66, 492.17 and 209.37 is: 288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.66 : 492.17 = 209.37 : x
  2. Step 2: Convert to fraction form
    356.66/492.17 = 209.37/x
  3. Step 3: Cross multiply
    356.66x = 492.17 × 209.37
  4. Step 4: Simplify right side
    356.66x = 103,045.63
  5. Step 5: Solve for x
    x = 103,045.63/356.66
  6. Step 6: Final answer
    x = 288.92

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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.