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Finding the Fourth Proportional to 303.32, 418.57 and 172.36

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Solution

The fourth proportional to 303.32, 418.57 and 172.36 is: 237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.32 : 418.57 = 172.36 : x
  2. Step 2: Convert to fraction form
    303.32/418.57 = 172.36/x
  3. Step 3: Cross multiply
    303.32x = 418.57 × 172.36
  4. Step 4: Simplify right side
    303.32x = 72,144.73
  5. Step 5: Solve for x
    x = 72,144.73/303.32
  6. Step 6: Final answer
    x = 237.85

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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.