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Finding the Fourth Proportional to 193.53, 288.48 and 178.95

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Solution

The fourth proportional to 193.53, 288.48 and 178.95 is: 266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.53 : 288.48 = 178.95 : x
  2. Step 2: Convert to fraction form
    193.53/288.48 = 178.95/x
  3. Step 3: Cross multiply
    193.53x = 288.48 × 178.95
  4. Step 4: Simplify right side
    193.53x = 51,623.50
  5. Step 5: Solve for x
    x = 51,623.50/193.53
  6. Step 6: Final answer
    x = 266.75

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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.