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Finding the Fourth Proportional to 187.13, 258.21 and 116.21

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Solution

The fourth proportional to 187.13, 258.21 and 116.21 is: 160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.13 : 258.21 = 116.21 : x
  2. Step 2: Convert to fraction form
    187.13/258.21 = 116.21/x
  3. Step 3: Cross multiply
    187.13x = 258.21 × 116.21
  4. Step 4: Simplify right side
    187.13x = 30,005.29
  5. Step 5: Solve for x
    x = 30,005.29/187.13
  6. Step 6: Final answer
    x = 160.35

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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.