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Finding the Fourth Proportional to 237.16, 327.30 and 188.44

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Solution

The fourth proportional to 237.16, 327.30 and 188.44 is: 260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.16 : 327.30 = 188.44 : x
  2. Step 2: Convert to fraction form
    237.16/327.30 = 188.44/x
  3. Step 3: Cross multiply
    237.16x = 327.30 × 188.44
  4. Step 4: Simplify right side
    237.16x = 61,676.41
  5. Step 5: Solve for x
    x = 61,676.41/237.16
  6. Step 6: Final answer
    x = 260.06

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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.