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Finding the Fourth Proportional to 601.80, 902.70 and 190.98

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Solution

The fourth proportional to 601.80, 902.70 and 190.98 is: 286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.80 : 902.70 = 190.98 : x
  2. Step 2: Convert to fraction form
    601.80/902.70 = 190.98/x
  3. Step 3: Cross multiply
    601.80x = 902.70 × 190.98
  4. Step 4: Simplify right side
    601.80x = 172,397.65
  5. Step 5: Solve for x
    x = 172,397.65/601.80
  6. Step 6: Final answer
    x = 286.47

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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.