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Finding the Fourth Proportional to 195.24, 268.90 and 180.64

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Solution

The fourth proportional to 195.24, 268.90 and 180.64 is: 248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.24 : 268.90 = 180.64 : x
  2. Step 2: Convert to fraction form
    195.24/268.90 = 180.64/x
  3. Step 3: Cross multiply
    195.24x = 268.90 × 180.64
  4. Step 4: Simplify right side
    195.24x = 48,574.10
  5. Step 5: Solve for x
    x = 48,574.10/195.24
  6. Step 6: Final answer
    x = 248.79

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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.