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Finding the Fourth Proportional to 285.22, 393.46 and 174.66

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Solution

The fourth proportional to 285.22, 393.46 and 174.66 is: 240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.22 : 393.46 = 174.66 : x
  2. Step 2: Convert to fraction form
    285.22/393.46 = 174.66/x
  3. Step 3: Cross multiply
    285.22x = 393.46 × 174.66
  4. Step 4: Simplify right side
    285.22x = 68,719.81
  5. Step 5: Solve for x
    x = 68,719.81/285.22
  6. Step 6: Final answer
    x = 240.94

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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.