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Finding the Fourth Proportional to 238, 328.16 and 155.12

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Solution

The fourth proportional to 238, 328.16 and 155.12 is: 213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238 : 328.16 = 155.12 : x
  2. Step 2: Convert to fraction form
    238/328.16 = 155.12/x
  3. Step 3: Cross multiply
    238x = 328.16 × 155.12
  4. Step 4: Simplify right side
    238x = 50,904.18
  5. Step 5: Solve for x
    x = 50,904.18/238
  6. Step 6: Final answer
    x = 213.88

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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.