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Finding the Fourth Proportional to 238, 328.34 and 155.22

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Solution

The fourth proportional to 238, 328.34 and 155.22 is: 214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238 : 328.34 = 155.22 : x
  2. Step 2: Convert to fraction form
    238/328.34 = 155.22/x
  3. Step 3: Cross multiply
    238x = 328.34 × 155.22
  4. Step 4: Simplify right side
    238x = 50,964.93
  5. Step 5: Solve for x
    x = 50,964.93/238
  6. Step 6: Final answer
    x = 214.14

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