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Finding the Fourth Proportional to 601.63, 902.14 and 190.65

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Solution

The fourth proportional to 601.63, 902.14 and 190.65 is: 285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.63 : 902.14 = 190.65 : x
  2. Step 2: Convert to fraction form
    601.63/902.14 = 190.65/x
  3. Step 3: Cross multiply
    601.63x = 902.14 × 190.65
  4. Step 4: Simplify right side
    601.63x = 171,995.90
  5. Step 5: Solve for x
    x = 171,995.90/601.63
  6. Step 6: Final answer
    x = 285.88

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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.