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Finding the Fourth Proportional to 187.33, 258.52 and 117.42

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Solution

The fourth proportional to 187.33, 258.52 and 117.42 is: 162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.33 : 258.52 = 117.42 : x
  2. Step 2: Convert to fraction form
    187.33/258.52 = 117.42/x
  3. Step 3: Cross multiply
    187.33x = 258.52 × 117.42
  4. Step 4: Simplify right side
    187.33x = 30,355.12
  5. Step 5: Solve for x
    x = 30,355.12/187.33
  6. Step 6: Final answer
    x = 162.04

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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.