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Finding the Fourth Proportional to 195.24, 267.72 and 188.37

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Solution

The fourth proportional to 195.24, 267.72 and 188.37 is: 258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.24 : 267.72 = 188.37 : x
  2. Step 2: Convert to fraction form
    195.24/267.72 = 188.37/x
  3. Step 3: Cross multiply
    195.24x = 267.72 × 188.37
  4. Step 4: Simplify right side
    195.24x = 50,430.42
  5. Step 5: Solve for x
    x = 50,430.42/195.24
  6. Step 6: Final answer
    x = 258.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.