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Finding the Fourth Proportional to 365.31, 548.01 and 118.51

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Solution

The fourth proportional to 365.31, 548.01 and 118.51 is: 177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.31 : 548.01 = 118.51 : x
  2. Step 2: Convert to fraction form
    365.31/548.01 = 118.51/x
  3. Step 3: Cross multiply
    365.31x = 548.01 × 118.51
  4. Step 4: Simplify right side
    365.31x = 64,942.58
  5. Step 5: Solve for x
    x = 64,942.58/365.31
  6. Step 6: Final answer
    x = 177.77

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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.