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Finding the Fourth Proportional to 285.93, 394.59 and 154.94

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Solution

The fourth proportional to 285.93, 394.59 and 154.94 is: 213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.93 : 394.59 = 154.94 : x
  2. Step 2: Convert to fraction form
    285.93/394.59 = 154.94/x
  3. Step 3: Cross multiply
    285.93x = 394.59 × 154.94
  4. Step 4: Simplify right side
    285.93x = 61,138.76
  5. Step 5: Solve for x
    x = 61,138.76/285.93
  6. Step 6: Final answer
    x = 213.82

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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.