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Finding the Fourth Proportional to 601.98, 902.93 and 169.17

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Solution

The fourth proportional to 601.98, 902.93 and 169.17 is: 253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.98 : 902.93 = 169.17 : x
  2. Step 2: Convert to fraction form
    601.98/902.93 = 169.17/x
  3. Step 3: Cross multiply
    601.98x = 902.93 × 169.17
  4. Step 4: Simplify right side
    601.98x = 152,747.82
  5. Step 5: Solve for x
    x = 152,747.82/601.98
  6. Step 6: Final answer
    x = 253.74

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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.