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Finding the Fourth Proportional to 303.98, 419.49 and 172.99

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Solution

The fourth proportional to 303.98, 419.49 and 172.99 is: 238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.98 : 419.49 = 172.99 : x
  2. Step 2: Convert to fraction form
    303.98/419.49 = 172.99/x
  3. Step 3: Cross multiply
    303.98x = 419.49 × 172.99
  4. Step 4: Simplify right side
    303.98x = 72,566.71
  5. Step 5: Solve for x
    x = 72,566.71/303.98
  6. Step 6: Final answer
    x = 238.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.