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Finding the Fourth Proportional to 187.25, 258.95 and 178.66

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Solution

The fourth proportional to 187.25, 258.95 and 178.66 is: 247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.25 : 258.95 = 178.66 : x
  2. Step 2: Convert to fraction form
    187.25/258.95 = 178.66/x
  3. Step 3: Cross multiply
    187.25x = 258.95 × 178.66
  4. Step 4: Simplify right side
    187.25x = 46,261.82
  5. Step 5: Solve for x
    x = 46,261.82/187.25
  6. Step 6: Final answer
    x = 247.06

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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.