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Finding the Fourth Proportional to 187.13, 258.33 and 117.23

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Solution

The fourth proportional to 187.13, 258.33 and 117.23 is: 161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.13 : 258.33 = 117.23 : x
  2. Step 2: Convert to fraction form
    187.13/258.33 = 117.23/x
  3. Step 3: Cross multiply
    187.13x = 258.33 × 117.23
  4. Step 4: Simplify right side
    187.13x = 30,283.17
  5. Step 5: Solve for x
    x = 30,283.17/187.13
  6. Step 6: Final answer
    x = 161.83

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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.