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Finding the Fourth Proportional to 187.94, 259.34 and 109.24

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Solution

The fourth proportional to 187.94, 259.34 and 109.24 is: 150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.94 : 259.34 = 109.24 : x
  2. Step 2: Convert to fraction form
    187.94/259.34 = 109.24/x
  3. Step 3: Cross multiply
    187.94x = 259.34 × 109.24
  4. Step 4: Simplify right side
    187.94x = 28,330.30
  5. Step 5: Solve for x
    x = 28,330.30/187.94
  6. Step 6: Final answer
    x = 150.74

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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.