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Finding the Fourth Proportional to 187.98, 259.40 and 109.31

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Solution

The fourth proportional to 187.98, 259.40 and 109.31 is: 150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.98 : 259.40 = 109.31 : x
  2. Step 2: Convert to fraction form
    187.98/259.40 = 109.31/x
  3. Step 3: Cross multiply
    187.98x = 259.40 × 109.31
  4. Step 4: Simplify right side
    187.98x = 28,353.17
  5. Step 5: Solve for x
    x = 28,353.17/187.98
  6. Step 6: Final answer
    x = 150.83

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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.