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Finding the Fourth Proportional to 187.36, 258.62 and 109.80

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Solution

The fourth proportional to 187.36, 258.62 and 109.80 is: 151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.36 : 258.62 = 109.80 : x
  2. Step 2: Convert to fraction form
    187.36/258.62 = 109.80/x
  3. Step 3: Cross multiply
    187.36x = 258.62 × 109.80
  4. Step 4: Simplify right side
    187.36x = 28,396.48
  5. Step 5: Solve for x
    x = 28,396.48/187.36
  6. Step 6: Final answer
    x = 151.56

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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.