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Finding the Fourth Proportional to 258.24, 356.22 and 209.16

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Solution

The fourth proportional to 258.24, 356.22 and 209.16 is: 288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.24 : 356.22 = 209.16 : x
  2. Step 2: Convert to fraction form
    258.24/356.22 = 209.16/x
  3. Step 3: Cross multiply
    258.24x = 356.22 × 209.16
  4. Step 4: Simplify right side
    258.24x = 74,506.98
  5. Step 5: Solve for x
    x = 74,506.98/258.24
  6. Step 6: Final answer
    x = 288.52

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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.