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Finding the Fourth Proportional to 285.30, 393.66 and 174.81

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Solution

The fourth proportional to 285.30, 393.66 and 174.81 is: 241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.30 : 393.66 = 174.81 : x
  2. Step 2: Convert to fraction form
    285.30/393.66 = 174.81/x
  3. Step 3: Cross multiply
    285.30x = 393.66 × 174.81
  4. Step 4: Simplify right side
    285.30x = 68,814.97
  5. Step 5: Solve for x
    x = 68,814.97/285.30
  6. Step 6: Final answer
    x = 241.20

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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.