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Finding the Fourth Proportional to 200.24, 298.91 and 159.60

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Solution

The fourth proportional to 200.24, 298.91 and 159.60 is: 238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 298.91 = 159.60 : x
  2. Step 2: Convert to fraction form
    200.24/298.91 = 159.60/x
  3. Step 3: Cross multiply
    200.24x = 298.91 × 159.60
  4. Step 4: Simplify right side
    200.24x = 47,706.04
  5. Step 5: Solve for x
    x = 47,706.04/200.24
  6. Step 6: Final answer
    x = 238.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.