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Finding the Fourth Proportional to 258.32, 355.56 and 214.16

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Solution

The fourth proportional to 258.32, 355.56 and 214.16 is: 294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.32 : 355.56 = 214.16 : x
  2. Step 2: Convert to fraction form
    258.32/355.56 = 214.16/x
  3. Step 3: Cross multiply
    258.32x = 355.56 × 214.16
  4. Step 4: Simplify right side
    258.32x = 76,146.73
  5. Step 5: Solve for x
    x = 76,146.73/258.32
  6. Step 6: Final answer
    x = 294.78

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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.