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Finding the Fourth Proportional to 187.76, 259.06 and 116.85

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Solution

The fourth proportional to 187.76, 259.06 and 116.85 is: 161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.76 : 259.06 = 116.85 : x
  2. Step 2: Convert to fraction form
    187.76/259.06 = 116.85/x
  3. Step 3: Cross multiply
    187.76x = 259.06 × 116.85
  4. Step 4: Simplify right side
    187.76x = 30,270.58
  5. Step 5: Solve for x
    x = 30,270.58/187.76
  6. Step 6: Final answer
    x = 161.22

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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.