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Finding the Fourth Proportional to 187.50, 258.75 and 113.80

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Solution

The fourth proportional to 187.50, 258.75 and 113.80 is: 157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.50 : 258.75 = 113.80 : x
  2. Step 2: Convert to fraction form
    187.50/258.75 = 113.80/x
  3. Step 3: Cross multiply
    187.50x = 258.75 × 113.80
  4. Step 4: Simplify right side
    187.50x = 29,446.56
  5. Step 5: Solve for x
    x = 29,446.56/187.50
  6. Step 6: Final answer
    x = 157.05

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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.