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Finding the Fourth Proportional to 187.05, 280.09 and 105.64

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Solution

The fourth proportional to 187.05, 280.09 and 105.64 is: 158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.05 : 280.09 = 105.64 : x
  2. Step 2: Convert to fraction form
    187.05/280.09 = 105.64/x
  3. Step 3: Cross multiply
    187.05x = 280.09 × 105.64
  4. Step 4: Simplify right side
    187.05x = 29,588.71
  5. Step 5: Solve for x
    x = 29,588.71/187.05
  6. Step 6: Final answer
    x = 158.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.