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Finding the Fourth Proportional to 187.48, 282.27 and 164.80

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Solution

The fourth proportional to 187.48, 282.27 and 164.80 is: 248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.48 : 282.27 = 164.80 : x
  2. Step 2: Convert to fraction form
    187.48/282.27 = 164.80/x
  3. Step 3: Cross multiply
    187.48x = 282.27 × 164.80
  4. Step 4: Simplify right side
    187.48x = 46,517.27
  5. Step 5: Solve for x
    x = 46,517.27/187.48
  6. Step 6: Final answer
    x = 248.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.