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Finding the Fourth Proportional to 187.77, 259.13 and 114.12

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Solution

The fourth proportional to 187.77, 259.13 and 114.12 is: 157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.77 : 259.13 = 114.12 : x
  2. Step 2: Convert to fraction form
    187.77/259.13 = 114.12/x
  3. Step 3: Cross multiply
    187.77x = 259.13 × 114.12
  4. Step 4: Simplify right side
    187.77x = 29,571.35
  5. Step 5: Solve for x
    x = 29,571.35/187.77
  6. Step 6: Final answer
    x = 157.49

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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.