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Finding the Fourth Proportional to 187.81, 259.14 and 109.14

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Solution

The fourth proportional to 187.81, 259.14 and 109.14 is: 150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.81 : 259.14 = 109.14 : x
  2. Step 2: Convert to fraction form
    187.81/259.14 = 109.14/x
  3. Step 3: Cross multiply
    187.81x = 259.14 × 109.14
  4. Step 4: Simplify right side
    187.81x = 28,282.54
  5. Step 5: Solve for x
    x = 28,282.54/187.81
  6. Step 6: Final answer
    x = 150.59

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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.