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Finding the Fourth Proportional to 187.73, 259.10 and 109.04

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Solution

The fourth proportional to 187.73, 259.10 and 109.04 is: 150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.73 : 259.10 = 109.04 : x
  2. Step 2: Convert to fraction form
    187.73/259.10 = 109.04/x
  3. Step 3: Cross multiply
    187.73x = 259.10 × 109.04
  4. Step 4: Simplify right side
    187.73x = 28,252.26
  5. Step 5: Solve for x
    x = 28,252.26/187.73
  6. Step 6: Final answer
    x = 150.49

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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.