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Finding the Fourth Proportional to 187.84, 282.80 and 166.30

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Solution

The fourth proportional to 187.84, 282.80 and 166.30 is: 250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.84 : 282.80 = 166.30 : x
  2. Step 2: Convert to fraction form
    187.84/282.80 = 166.30/x
  3. Step 3: Cross multiply
    187.84x = 282.80 × 166.30
  4. Step 4: Simplify right side
    187.84x = 47,029.64
  5. Step 5: Solve for x
    x = 47,029.64/187.84
  6. Step 6: Final answer
    x = 250.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.