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Finding the Fourth Proportional to 195.72, 291.54 and 186.36

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Solution

The fourth proportional to 195.72, 291.54 and 186.36 is: 277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.72 : 291.54 = 186.36 : x
  2. Step 2: Convert to fraction form
    195.72/291.54 = 186.36/x
  3. Step 3: Cross multiply
    195.72x = 291.54 × 186.36
  4. Step 4: Simplify right side
    195.72x = 54,331.39
  5. Step 5: Solve for x
    x = 54,331.39/195.72
  6. Step 6: Final answer
    x = 277.60

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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.