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Finding the Fourth Proportional to 238.26, 328.81 and 144.99

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Solution

The fourth proportional to 238.26, 328.81 and 144.99 is: 200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.26 : 328.81 = 144.99 : x
  2. Step 2: Convert to fraction form
    238.26/328.81 = 144.99/x
  3. Step 3: Cross multiply
    238.26x = 328.81 × 144.99
  4. Step 4: Simplify right side
    238.26x = 47,674.16
  5. Step 5: Solve for x
    x = 47,674.16/238.26
  6. Step 6: Final answer
    x = 200.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.