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Finding the Fourth Proportional to 187.88, 282.14 and 105.58

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Solution

The fourth proportional to 187.88, 282.14 and 105.58 is: 158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.88 : 282.14 = 105.58 : x
  2. Step 2: Convert to fraction form
    187.88/282.14 = 105.58/x
  3. Step 3: Cross multiply
    187.88x = 282.14 × 105.58
  4. Step 4: Simplify right side
    187.88x = 29,788.34
  5. Step 5: Solve for x
    x = 29,788.34/187.88
  6. Step 6: Final answer
    x = 158.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.