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Finding the Fourth Proportional to 258.04, 355.32 and 213.62

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Solution

The fourth proportional to 258.04, 355.32 and 213.62 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.04 : 355.32 = 213.62 : x
  2. Step 2: Convert to fraction form
    258.04/355.32 = 213.62/x
  3. Step 3: Cross multiply
    258.04x = 355.32 × 213.62
  4. Step 4: Simplify right side
    258.04x = 75,903.46
  5. Step 5: Solve for x
    x = 75,903.46/258.04
  6. Step 6: Final answer
    x = 294.15

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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.