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Finding the Fourth Proportional to 187.23, 280.61 and 164.45

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Solution

The fourth proportional to 187.23, 280.61 and 164.45 is: 246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.23 : 280.61 = 164.45 : x
  2. Step 2: Convert to fraction form
    187.23/280.61 = 164.45/x
  3. Step 3: Cross multiply
    187.23x = 280.61 × 164.45
  4. Step 4: Simplify right side
    187.23x = 46,144.09
  5. Step 5: Solve for x
    x = 46,144.09/187.23
  6. Step 6: Final answer
    x = 246.46

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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.