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Finding the Fourth Proportional to 238.23, 328.77 and 155.56

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Solution

The fourth proportional to 238.23, 328.77 and 155.56 is: 214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.23 : 328.77 = 155.56 : x
  2. Step 2: Convert to fraction form
    238.23/328.77 = 155.56/x
  3. Step 3: Cross multiply
    238.23x = 328.77 × 155.56
  4. Step 4: Simplify right side
    238.23x = 51,142.64
  5. Step 5: Solve for x
    x = 51,142.64/238.23
  6. Step 6: Final answer
    x = 214.68

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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.