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Finding the Fourth Proportional to 160.19, 240.08 and 109.16

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Solution

The fourth proportional to 160.19, 240.08 and 109.16 is: 163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.19 : 240.08 = 109.16 : x
  2. Step 2: Convert to fraction form
    160.19/240.08 = 109.16/x
  3. Step 3: Cross multiply
    160.19x = 240.08 × 109.16
  4. Step 4: Simplify right side
    160.19x = 26,208.01
  5. Step 5: Solve for x
    x = 26,208.01/160.19
  6. Step 6: Final answer
    x = 163.60

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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.