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Finding the Fourth Proportional to 258.71, 356.96 and 209.50

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Solution

The fourth proportional to 258.71, 356.96 and 209.50 is: 289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.71 : 356.96 = 209.50 : x
  2. Step 2: Convert to fraction form
    258.71/356.96 = 209.50/x
  3. Step 3: Cross multiply
    258.71x = 356.96 × 209.50
  4. Step 4: Simplify right side
    258.71x = 74,781.34
  5. Step 5: Solve for x
    x = 74,781.34/258.71
  6. Step 6: Final answer
    x = 289.06

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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.