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Finding the Fourth Proportional to 165.78, 248.56 and 63.05

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Solution

The fourth proportional to 165.78, 248.56 and 63.05 is: 94.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 248.56 = 63.05 : x
  2. Step 2: Convert to fraction form
    165.78/248.56 = 63.05/x
  3. Step 3: Cross multiply
    165.78x = 248.56 × 63.05
  4. Step 4: Simplify right side
    165.78x = 15,670.31
  5. Step 5: Solve for x
    x = 15,670.31/165.78
  6. Step 6: Final answer
    x = 94.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.