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Finding the Fourth Proportional to 297.03, 409.57 and 186.37

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Solution

The fourth proportional to 297.03, 409.57 and 186.37 is: 256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.03 : 409.57 = 186.37 : x
  2. Step 2: Convert to fraction form
    297.03/409.57 = 186.37/x
  3. Step 3: Cross multiply
    297.03x = 409.57 × 186.37
  4. Step 4: Simplify right side
    297.03x = 76,331.56
  5. Step 5: Solve for x
    x = 76,331.56/297.03
  6. Step 6: Final answer
    x = 256.98

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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.