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Finding the Fourth Proportional to 500.87, 751.41 and 176.23

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Solution

The fourth proportional to 500.87, 751.41 and 176.23 is: 264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.87 : 751.41 = 176.23 : x
  2. Step 2: Convert to fraction form
    500.87/751.41 = 176.23/x
  3. Step 3: Cross multiply
    500.87x = 751.41 × 176.23
  4. Step 4: Simplify right side
    500.87x = 132,420.98
  5. Step 5: Solve for x
    x = 132,420.98/500.87
  6. Step 6: Final answer
    x = 264.38

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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.