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Finding the Fourth Proportional to 500.26, 750.27 and 192.00

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Solution

The fourth proportional to 500.26, 750.27 and 192.00 is: 287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.26 : 750.27 = 192.00 : x
  2. Step 2: Convert to fraction form
    500.26/750.27 = 192.00/x
  3. Step 3: Cross multiply
    500.26x = 750.27 × 192.00
  4. Step 4: Simplify right side
    500.26x = 144,048.09
  5. Step 5: Solve for x
    x = 144,048.09/500.26
  6. Step 6: Final answer
    x = 287.95

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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.