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Finding the Fourth Proportional to 285.69, 394.16 and 175.14

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Solution

The fourth proportional to 285.69, 394.16 and 175.14 is: 241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.69 : 394.16 = 175.14 : x
  2. Step 2: Convert to fraction form
    285.69/394.16 = 175.14/x
  3. Step 3: Cross multiply
    285.69x = 394.16 × 175.14
  4. Step 4: Simplify right side
    285.69x = 69,033.62
  5. Step 5: Solve for x
    x = 69,033.62/285.69
  6. Step 6: Final answer
    x = 241.64

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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.