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Finding the Fourth Proportional to 258.12, 356.08 and 188.06

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Solution

The fourth proportional to 258.12, 356.08 and 188.06 is: 259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.12 : 356.08 = 188.06 : x
  2. Step 2: Convert to fraction form
    258.12/356.08 = 188.06/x
  3. Step 3: Cross multiply
    258.12x = 356.08 × 188.06
  4. Step 4: Simplify right side
    258.12x = 66,963.46
  5. Step 5: Solve for x
    x = 66,963.46/258.12
  6. Step 6: Final answer
    x = 259.43

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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.