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Finding the Fourth Proportional to 365.97, 549 and 192.73

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Solution

The fourth proportional to 365.97, 549 and 192.73 is: 289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.97 : 549 = 192.73 : x
  2. Step 2: Convert to fraction form
    365.97/549 = 192.73/x
  3. Step 3: Cross multiply
    365.97x = 549 × 192.73
  4. Step 4: Simplify right side
    365.97x = 105,808.77
  5. Step 5: Solve for x
    x = 105,808.77/365.97
  6. Step 6: Final answer
    x = 289.12

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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.