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Finding the Fourth Proportional to 360.21, 496.82 and 236.01

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Solution

The fourth proportional to 360.21, 496.82 and 236.01 is: 325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.21 : 496.82 = 236.01 : x
  2. Step 2: Convert to fraction form
    360.21/496.82 = 236.01/x
  3. Step 3: Cross multiply
    360.21x = 496.82 × 236.01
  4. Step 4: Simplify right side
    360.21x = 117,253.31
  5. Step 5: Solve for x
    x = 117,253.31/360.21
  6. Step 6: Final answer
    x = 325.51

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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.