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Finding the Fourth Proportional to 187.36, 258.64 and 113.70

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Solution

The fourth proportional to 187.36, 258.64 and 113.70 is: 156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.36 : 258.64 = 113.70 : x
  2. Step 2: Convert to fraction form
    187.36/258.64 = 113.70/x
  3. Step 3: Cross multiply
    187.36x = 258.64 × 113.70
  4. Step 4: Simplify right side
    187.36x = 29,408.69
  5. Step 5: Solve for x
    x = 29,408.69/187.36
  6. Step 6: Final answer
    x = 156.96

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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.