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Finding the Fourth Proportional to 285.92, 394.57 and 175.42

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Solution

The fourth proportional to 285.92, 394.57 and 175.42 is: 242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 394.57 = 175.42 : x
  2. Step 2: Convert to fraction form
    285.92/394.57 = 175.42/x
  3. Step 3: Cross multiply
    285.92x = 394.57 × 175.42
  4. Step 4: Simplify right side
    285.92x = 69,215.47
  5. Step 5: Solve for x
    x = 69,215.47/285.92
  6. Step 6: Final answer
    x = 242.08

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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.