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Finding the Fourth Proportional to 195.50, 291.30 and 183.08

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Solution

The fourth proportional to 195.50, 291.30 and 183.08 is: 272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.50 : 291.30 = 183.08 : x
  2. Step 2: Convert to fraction form
    195.50/291.30 = 183.08/x
  3. Step 3: Cross multiply
    195.50x = 291.30 × 183.08
  4. Step 4: Simplify right side
    195.50x = 53,331.20
  5. Step 5: Solve for x
    x = 53,331.20/195.50
  6. Step 6: Final answer
    x = 272.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.