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Finding the Fourth Proportional to 187.29, 280.47 and 110.06

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Solution

The fourth proportional to 187.29, 280.47 and 110.06 is: 164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.29 : 280.47 = 110.06 : x
  2. Step 2: Convert to fraction form
    187.29/280.47 = 110.06/x
  3. Step 3: Cross multiply
    187.29x = 280.47 × 110.06
  4. Step 4: Simplify right side
    187.29x = 30,867.13
  5. Step 5: Solve for x
    x = 30,867.13/187.29
  6. Step 6: Final answer
    x = 164.81

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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.