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Finding the Fourth Proportional to 258.60, 356.58 and 214.20

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Solution

The fourth proportional to 258.60, 356.58 and 214.20 is: 295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.60 : 356.58 = 214.20 : x
  2. Step 2: Convert to fraction form
    258.60/356.58 = 214.20/x
  3. Step 3: Cross multiply
    258.60x = 356.58 × 214.20
  4. Step 4: Simplify right side
    258.60x = 76,379.44
  5. Step 5: Solve for x
    x = 76,379.44/258.60
  6. Step 6: Final answer
    x = 295.36

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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.