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Finding the Fourth Proportional to 238.45, 328.92 and 145.23

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Solution

The fourth proportional to 238.45, 328.92 and 145.23 is: 200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.45 : 328.92 = 145.23 : x
  2. Step 2: Convert to fraction form
    238.45/328.92 = 145.23/x
  3. Step 3: Cross multiply
    238.45x = 328.92 × 145.23
  4. Step 4: Simplify right side
    238.45x = 47,769.05
  5. Step 5: Solve for x
    x = 47,769.05/238.45
  6. Step 6: Final answer
    x = 200.33

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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.