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Finding the Fourth Proportional to 500.93, 751.19 and 208.23

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Solution

The fourth proportional to 500.93, 751.19 and 208.23 is: 312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.93 : 751.19 = 208.23 : x
  2. Step 2: Convert to fraction form
    500.93/751.19 = 208.23/x
  3. Step 3: Cross multiply
    500.93x = 751.19 × 208.23
  4. Step 4: Simplify right side
    500.93x = 156,420.29
  5. Step 5: Solve for x
    x = 156,420.29/500.93
  6. Step 6: Final answer
    x = 312.26

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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.