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Finding the Fourth Proportional to 160.19, 240.20 and 108.19

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Solution

The fourth proportional to 160.19, 240.20 and 108.19 is: 162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.19 : 240.20 = 108.19 : x
  2. Step 2: Convert to fraction form
    160.19/240.20 = 108.19/x
  3. Step 3: Cross multiply
    160.19x = 240.20 × 108.19
  4. Step 4: Simplify right side
    160.19x = 25,988.08
  5. Step 5: Solve for x
    x = 25,988.08/160.19
  6. Step 6: Final answer
    x = 162.23

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Why These Related Problems?

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