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Finding the Fourth Proportional to 285.60, 394.18 and 238.89

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Solution

The fourth proportional to 285.60, 394.18 and 238.89 is: 329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.60 : 394.18 = 238.89 : x
  2. Step 2: Convert to fraction form
    285.60/394.18 = 238.89/x
  3. Step 3: Cross multiply
    285.60x = 394.18 × 238.89
  4. Step 4: Simplify right side
    285.60x = 94,165.66
  5. Step 5: Solve for x
    x = 94,165.66/285.60
  6. Step 6: Final answer
    x = 329.71

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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.