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Finding the Fourth Proportional to 187.50, 258.74 and 113.78

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Solution

The fourth proportional to 187.50, 258.74 and 113.78 is: 157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.50 : 258.74 = 113.78 : x
  2. Step 2: Convert to fraction form
    187.50/258.74 = 113.78/x
  3. Step 3: Cross multiply
    187.50x = 258.74 × 113.78
  4. Step 4: Simplify right side
    187.50x = 29,437.57
  5. Step 5: Solve for x
    x = 29,437.57/187.50
  6. Step 6: Final answer
    x = 157.00

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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.