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Finding the Fourth Proportional to 285.59, 394.05 and 161.22

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Solution

The fourth proportional to 285.59, 394.05 and 161.22 is: 222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.59 : 394.05 = 161.22 : x
  2. Step 2: Convert to fraction form
    285.59/394.05 = 161.22/x
  3. Step 3: Cross multiply
    285.59x = 394.05 × 161.22
  4. Step 4: Simplify right side
    285.59x = 63,528.74
  5. Step 5: Solve for x
    x = 63,528.74/285.59
  6. Step 6: Final answer
    x = 222.45

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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.