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Finding the Fourth Proportional to 601.49, 902.29 and 168.65

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Solution

The fourth proportional to 601.49, 902.29 and 168.65 is: 252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.49 : 902.29 = 168.65 : x
  2. Step 2: Convert to fraction form
    601.49/902.29 = 168.65/x
  3. Step 3: Cross multiply
    601.49x = 902.29 × 168.65
  4. Step 4: Simplify right side
    601.49x = 152,166.70
  5. Step 5: Solve for x
    x = 152,166.70/601.49
  6. Step 6: Final answer
    x = 252.99

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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.