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Finding the Fourth Proportional to 285.29, 393.94 and 272.16

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Solution

The fourth proportional to 285.29, 393.94 and 272.16 is: 375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.29 : 393.94 = 272.16 : x
  2. Step 2: Convert to fraction form
    285.29/393.94 = 272.16/x
  3. Step 3: Cross multiply
    285.29x = 393.94 × 272.16
  4. Step 4: Simplify right side
    285.29x = 107,216.53
  5. Step 5: Solve for x
    x = 107,216.53/285.29
  6. Step 6: Final answer
    x = 375.81

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Why These Related Problems?

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