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Finding the Fourth Proportional to 303.08, 418.32 and 185

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Solution

The fourth proportional to 303.08, 418.32 and 185 is: 255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.08 : 418.32 = 185 : x
  2. Step 2: Convert to fraction form
    303.08/418.32 = 185/x
  3. Step 3: Cross multiply
    303.08x = 418.32 × 185
  4. Step 4: Simplify right side
    303.08x = 77,389.20
  5. Step 5: Solve for x
    x = 77,389.20/303.08
  6. Step 6: Final answer
    x = 255.34

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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.