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Finding the Fourth Proportional to 187.86, 259.24 and 109.17

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Solution

The fourth proportional to 187.86, 259.24 and 109.17 is: 150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.86 : 259.24 = 109.17 : x
  2. Step 2: Convert to fraction form
    187.86/259.24 = 109.17/x
  3. Step 3: Cross multiply
    187.86x = 259.24 × 109.17
  4. Step 4: Simplify right side
    187.86x = 28,301.23
  5. Step 5: Solve for x
    x = 28,301.23/187.86
  6. Step 6: Final answer
    x = 150.65

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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.