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Finding the Fourth Proportional to 285.66, 427.21 and 169.78

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Solution

The fourth proportional to 285.66, 427.21 and 169.78 is: 253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.66 : 427.21 = 169.78 : x
  2. Step 2: Convert to fraction form
    285.66/427.21 = 169.78/x
  3. Step 3: Cross multiply
    285.66x = 427.21 × 169.78
  4. Step 4: Simplify right side
    285.66x = 72,531.71
  5. Step 5: Solve for x
    x = 72,531.71/285.66
  6. Step 6: Final answer
    x = 253.91

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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.