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Finding the Fourth Proportional to 285.69, 394.21 and 175.23

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Solution

The fourth proportional to 285.69, 394.21 and 175.23 is: 241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.69 : 394.21 = 175.23 : x
  2. Step 2: Convert to fraction form
    285.69/394.21 = 175.23/x
  3. Step 3: Cross multiply
    285.69x = 394.21 × 175.23
  4. Step 4: Simplify right side
    285.69x = 69,077.42
  5. Step 5: Solve for x
    x = 69,077.42/285.69
  6. Step 6: Final answer
    x = 241.79

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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.