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Finding the Fourth Proportional to 301.07, 450.79 and 192.53

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Solution

The fourth proportional to 301.07, 450.79 and 192.53 is: 288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.07 : 450.79 = 192.53 : x
  2. Step 2: Convert to fraction form
    301.07/450.79 = 192.53/x
  3. Step 3: Cross multiply
    301.07x = 450.79 × 192.53
  4. Step 4: Simplify right side
    301.07x = 86,790.60
  5. Step 5: Solve for x
    x = 86,790.60/301.07
  6. Step 6: Final answer
    x = 288.27

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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.