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Finding the Fourth Proportional to 237.22, 327.36 and 188.02

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Solution

The fourth proportional to 237.22, 327.36 and 188.02 is: 259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.22 : 327.36 = 188.02 : x
  2. Step 2: Convert to fraction form
    237.22/327.36 = 188.02/x
  3. Step 3: Cross multiply
    237.22x = 327.36 × 188.02
  4. Step 4: Simplify right side
    237.22x = 61,550.23
  5. Step 5: Solve for x
    x = 61,550.23/237.22
  6. Step 6: Final answer
    x = 259.46

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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.