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Finding the Fourth Proportional to 309.80, 427.89 and 236

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Solution

The fourth proportional to 309.80, 427.89 and 236 is: 325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 427.89 = 236 : x
  2. Step 2: Convert to fraction form
    309.80/427.89 = 236/x
  3. Step 3: Cross multiply
    309.80x = 427.89 × 236
  4. Step 4: Simplify right side
    309.80x = 100,982.04
  5. Step 5: Solve for x
    x = 100,982.04/309.80
  6. Step 6: Final answer
    x = 325.96

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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.