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Finding the Fourth Proportional to 160.51, 240.64 and 52.27

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Solution

The fourth proportional to 160.51, 240.64 and 52.27 is: 78.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.51 : 240.64 = 52.27 : x
  2. Step 2: Convert to fraction form
    160.51/240.64 = 52.27/x
  3. Step 3: Cross multiply
    160.51x = 240.64 × 52.27
  4. Step 4: Simplify right side
    160.51x = 12,578.25
  5. Step 5: Solve for x
    x = 12,578.25/160.51
  6. Step 6: Final answer
    x = 78.36

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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.