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Finding the Fourth Proportional to 285.50, 427.19 and 169.98

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Solution

The fourth proportional to 285.50, 427.19 and 169.98 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.50 : 427.19 = 169.98 : x
  2. Step 2: Convert to fraction form
    285.50/427.19 = 169.98/x
  3. Step 3: Cross multiply
    285.50x = 427.19 × 169.98
  4. Step 4: Simplify right side
    285.50x = 72,612.91
  5. Step 5: Solve for x
    x = 72,612.91/285.50
  6. Step 6: Final answer
    x = 254.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.