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Finding the Fourth Proportional to 187.83, 258.98 and 114.12

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Solution

The fourth proportional to 187.83, 258.98 and 114.12 is: 157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.83 : 258.98 = 114.12 : x
  2. Step 2: Convert to fraction form
    187.83/258.98 = 114.12/x
  3. Step 3: Cross multiply
    187.83x = 258.98 × 114.12
  4. Step 4: Simplify right side
    187.83x = 29,554.80
  5. Step 5: Solve for x
    x = 29,554.80/187.83
  6. Step 6: Final answer
    x = 157.35

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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.