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Finding the Fourth Proportional to 193.04, 287.69 and 186.89

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Solution

The fourth proportional to 193.04, 287.69 and 186.89 is: 278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.04 : 287.69 = 186.89 : x
  2. Step 2: Convert to fraction form
    193.04/287.69 = 186.89/x
  3. Step 3: Cross multiply
    193.04x = 287.69 × 186.89
  4. Step 4: Simplify right side
    193.04x = 53,766.38
  5. Step 5: Solve for x
    x = 53,766.38/193.04
  6. Step 6: Final answer
    x = 278.52

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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.