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Finding the Fourth Proportional to 187.84, 259.19 and 109.16

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Solution

The fourth proportional to 187.84, 259.19 and 109.16 is: 150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.84 : 259.19 = 109.16 : x
  2. Step 2: Convert to fraction form
    187.84/259.19 = 109.16/x
  3. Step 3: Cross multiply
    187.84x = 259.19 × 109.16
  4. Step 4: Simplify right side
    187.84x = 28,292.93
  5. Step 5: Solve for x
    x = 28,292.93/187.84
  6. Step 6: Final answer
    x = 150.62

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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.