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Finding the Fourth Proportional to 238.02, 356.82 and 177.09

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Solution

The fourth proportional to 238.02, 356.82 and 177.09 is: 265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.02 : 356.82 = 177.09 : x
  2. Step 2: Convert to fraction form
    238.02/356.82 = 177.09/x
  3. Step 3: Cross multiply
    238.02x = 356.82 × 177.09
  4. Step 4: Simplify right side
    238.02x = 63,189.25
  5. Step 5: Solve for x
    x = 63,189.25/238.02
  6. Step 6: Final answer
    x = 265.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.