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Finding the Fourth Proportional to 195.20, 291.37 and 172.13

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Solution

The fourth proportional to 195.20, 291.37 and 172.13 is: 256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.20 : 291.37 = 172.13 : x
  2. Step 2: Convert to fraction form
    195.20/291.37 = 172.13/x
  3. Step 3: Cross multiply
    195.20x = 291.37 × 172.13
  4. Step 4: Simplify right side
    195.20x = 50,152.66
  5. Step 5: Solve for x
    x = 50,152.66/195.20
  6. Step 6: Final answer
    x = 256.93

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