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Finding the Fourth Proportional to 187.54, 258.75 and 141.06

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Solution

The fourth proportional to 187.54, 258.75 and 141.06 is: 194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.54 : 258.75 = 141.06 : x
  2. Step 2: Convert to fraction form
    187.54/258.75 = 141.06/x
  3. Step 3: Cross multiply
    187.54x = 258.75 × 141.06
  4. Step 4: Simplify right side
    187.54x = 36,499.28
  5. Step 5: Solve for x
    x = 36,499.28/187.54
  6. Step 6: Final answer
    x = 194.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.