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Finding the Fourth Proportional to 237.44, 355.68 and 115.32

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Solution

The fourth proportional to 237.44, 355.68 and 115.32 is: 172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.44 : 355.68 = 115.32 : x
  2. Step 2: Convert to fraction form
    237.44/355.68 = 115.32/x
  3. Step 3: Cross multiply
    237.44x = 355.68 × 115.32
  4. Step 4: Simplify right side
    237.44x = 41,017.02
  5. Step 5: Solve for x
    x = 41,017.02/237.44
  6. Step 6: Final answer
    x = 172.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.