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Finding the Fourth Proportional to 258.23, 356.23 and 188.18

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Solution

The fourth proportional to 258.23, 356.23 and 188.18 is: 259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.23 : 356.23 = 188.18 : x
  2. Step 2: Convert to fraction form
    258.23/356.23 = 188.18/x
  3. Step 3: Cross multiply
    258.23x = 356.23 × 188.18
  4. Step 4: Simplify right side
    258.23x = 67,033.11
  5. Step 5: Solve for x
    x = 67,033.11/258.23
  6. Step 6: Final answer
    x = 259.59

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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.