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Finding the Fourth Proportional to 285.59, 394.02 and 174.98

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Solution

The fourth proportional to 285.59, 394.02 and 174.98 is: 241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.59 : 394.02 = 174.98 : x
  2. Step 2: Convert to fraction form
    285.59/394.02 = 174.98/x
  3. Step 3: Cross multiply
    285.59x = 394.02 × 174.98
  4. Step 4: Simplify right side
    285.59x = 68,943.65
  5. Step 5: Solve for x
    x = 68,943.65/285.59
  6. Step 6: Final answer
    x = 241.41

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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.