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Finding the Fourth Proportional to 285.60, 394.13 and 154.61

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Solution

The fourth proportional to 285.60, 394.13 and 154.61 is: 213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.60 : 394.13 = 154.61 : x
  2. Step 2: Convert to fraction form
    285.60/394.13 = 154.61/x
  3. Step 3: Cross multiply
    285.60x = 394.13 × 154.61
  4. Step 4: Simplify right side
    285.60x = 60,937.07
  5. Step 5: Solve for x
    x = 60,937.07/285.60
  6. Step 6: Final answer
    x = 213.36

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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.