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Finding the Fourth Proportional to 193.44, 288.69 and 180.48

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Solution

The fourth proportional to 193.44, 288.69 and 180.48 is: 269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.44 : 288.69 = 180.48 : x
  2. Step 2: Convert to fraction form
    193.44/288.69 = 180.48/x
  3. Step 3: Cross multiply
    193.44x = 288.69 × 180.48
  4. Step 4: Simplify right side
    193.44x = 52,102.77
  5. Step 5: Solve for x
    x = 52,102.77/193.44
  6. Step 6: Final answer
    x = 269.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.