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Finding the Fourth Proportional to 285.19, 393.56 and 186.95

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Solution

The fourth proportional to 285.19, 393.56 and 186.95 is: 257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.19 : 393.56 = 186.95 : x
  2. Step 2: Convert to fraction form
    285.19/393.56 = 186.95/x
  3. Step 3: Cross multiply
    285.19x = 393.56 × 186.95
  4. Step 4: Simplify right side
    285.19x = 73,576.04
  5. Step 5: Solve for x
    x = 73,576.04/285.19
  6. Step 6: Final answer
    x = 257.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.