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Finding the Fourth Proportional to 187.99, 282.00 and 66.25

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Solution

The fourth proportional to 187.99, 282.00 and 66.25 is: 99.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.99 : 282.00 = 66.25 : x
  2. Step 2: Convert to fraction form
    187.99/282.00 = 66.25/x
  3. Step 3: Cross multiply
    187.99x = 282.00 × 66.25
  4. Step 4: Simplify right side
    187.99x = 18,682.73
  5. Step 5: Solve for x
    x = 18,682.73/187.99
  6. Step 6: Final answer
    x = 99.38

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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.