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Finding the Fourth Proportional to 187.41, 257.97 and 164.04

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Solution

The fourth proportional to 187.41, 257.97 and 164.04 is: 225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.41 : 257.97 = 164.04 : x
  2. Step 2: Convert to fraction form
    187.41/257.97 = 164.04/x
  3. Step 3: Cross multiply
    187.41x = 257.97 × 164.04
  4. Step 4: Simplify right side
    187.41x = 42,316.58
  5. Step 5: Solve for x
    x = 42,316.58/187.41
  6. Step 6: Final answer
    x = 225.80

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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.