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Finding the Fourth Proportional to 258.88, 356.65 and 214.33

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Solution

The fourth proportional to 258.88, 356.65 and 214.33 is: 295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.88 : 356.65 = 214.33 : x
  2. Step 2: Convert to fraction form
    258.88/356.65 = 214.33/x
  3. Step 3: Cross multiply
    258.88x = 356.65 × 214.33
  4. Step 4: Simplify right side
    258.88x = 76,440.79
  5. Step 5: Solve for x
    x = 76,440.79/258.88
  6. Step 6: Final answer
    x = 295.28

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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.