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Finding the Fourth Proportional to 187.67, 259.49 and 164.61

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Solution

The fourth proportional to 187.67, 259.49 and 164.61 is: 227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.67 : 259.49 = 164.61 : x
  2. Step 2: Convert to fraction form
    187.67/259.49 = 164.61/x
  3. Step 3: Cross multiply
    187.67x = 259.49 × 164.61
  4. Step 4: Simplify right side
    187.67x = 42,715.06
  5. Step 5: Solve for x
    x = 42,715.06/187.67
  6. Step 6: Final answer
    x = 227.60

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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.