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Finding the Fourth Proportional to 187.85, 259.17 and 114.17

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Solution

The fourth proportional to 187.85, 259.17 and 114.17 is: 157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.85 : 259.17 = 114.17 : x
  2. Step 2: Convert to fraction form
    187.85/259.17 = 114.17/x
  3. Step 3: Cross multiply
    187.85x = 259.17 × 114.17
  4. Step 4: Simplify right side
    187.85x = 29,588.14
  5. Step 5: Solve for x
    x = 29,588.14/187.85
  6. Step 6: Final answer
    x = 157.51

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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.