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Finding the Fourth Proportional to 187.01, 282.00 and 184.44

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Solution

The fourth proportional to 187.01, 282.00 and 184.44 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.01 : 282.00 = 184.44 : x
  2. Step 2: Convert to fraction form
    187.01/282.00 = 184.44/x
  3. Step 3: Cross multiply
    187.01x = 282.00 × 184.44
  4. Step 4: Simplify right side
    187.01x = 52,012.77
  5. Step 5: Solve for x
    x = 52,012.77/187.01
  6. Step 6: Final answer
    x = 278.14

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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.