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Finding the Fourth Proportional to 238.03, 356.77 and 180.07

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Solution

The fourth proportional to 238.03, 356.77 and 180.07 is: 269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.03 : 356.77 = 180.07 : x
  2. Step 2: Convert to fraction form
    238.03/356.77 = 180.07/x
  3. Step 3: Cross multiply
    238.03x = 356.77 × 180.07
  4. Step 4: Simplify right side
    238.03x = 64,243.57
  5. Step 5: Solve for x
    x = 64,243.57/238.03
  6. Step 6: Final answer
    x = 269.90

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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.