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Finding the Fourth Proportional to 237.36, 327.33 and 202.35

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Solution

The fourth proportional to 237.36, 327.33 and 202.35 is: 279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.36 : 327.33 = 202.35 : x
  2. Step 2: Convert to fraction form
    237.36/327.33 = 202.35/x
  3. Step 3: Cross multiply
    237.36x = 327.33 × 202.35
  4. Step 4: Simplify right side
    237.36x = 66,235.23
  5. Step 5: Solve for x
    x = 66,235.23/237.36
  6. Step 6: Final answer
    x = 279.05

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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.