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Finding the Fourth Proportional to 500.93, 751.27 and 192.92

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Solution

The fourth proportional to 500.93, 751.27 and 192.92 is: 289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.93 : 751.27 = 192.92 : x
  2. Step 2: Convert to fraction form
    500.93/751.27 = 192.92/x
  3. Step 3: Cross multiply
    500.93x = 751.27 × 192.92
  4. Step 4: Simplify right side
    500.93x = 144,935.01
  5. Step 5: Solve for x
    x = 144,935.01/500.93
  6. Step 6: Final answer
    x = 289.33

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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.