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Finding the Fourth Proportional to 238.46, 328.96 and 155.54

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Solution

The fourth proportional to 238.46, 328.96 and 155.54 is: 214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.46 : 328.96 = 155.54 : x
  2. Step 2: Convert to fraction form
    238.46/328.96 = 155.54/x
  3. Step 3: Cross multiply
    238.46x = 328.96 × 155.54
  4. Step 4: Simplify right side
    238.46x = 51,165.18
  5. Step 5: Solve for x
    x = 51,165.18/238.46
  6. Step 6: Final answer
    x = 214.57

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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.