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Finding the Fourth Proportional to 258.24, 356.16 and 211.80

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Solution

The fourth proportional to 258.24, 356.16 and 211.80 is: 292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.24 : 356.16 = 211.80 : x
  2. Step 2: Convert to fraction form
    258.24/356.16 = 211.80/x
  3. Step 3: Cross multiply
    258.24x = 356.16 × 211.80
  4. Step 4: Simplify right side
    258.24x = 75,434.69
  5. Step 5: Solve for x
    x = 75,434.69/258.24
  6. Step 6: Final answer
    x = 292.11

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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.