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Finding the Fourth Proportional to 187.42, 258.49 and 164.05

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Solution

The fourth proportional to 187.42, 258.49 and 164.05 is: 226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.42 : 258.49 = 164.05 : x
  2. Step 2: Convert to fraction form
    187.42/258.49 = 164.05/x
  3. Step 3: Cross multiply
    187.42x = 258.49 × 164.05
  4. Step 4: Simplify right side
    187.42x = 42,405.28
  5. Step 5: Solve for x
    x = 42,405.28/187.42
  6. Step 6: Final answer
    x = 226.26

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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.