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Finding the Fourth Proportional to 468.69, 703.03 and 180.19

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Solution

The fourth proportional to 468.69, 703.03 and 180.19 is: 270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.69 : 703.03 = 180.19 : x
  2. Step 2: Convert to fraction form
    468.69/703.03 = 180.19/x
  3. Step 3: Cross multiply
    468.69x = 703.03 × 180.19
  4. Step 4: Simplify right side
    468.69x = 126,678.98
  5. Step 5: Solve for x
    x = 126,678.98/468.69
  6. Step 6: Final answer
    x = 270.28

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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.