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Finding the Fourth Proportional to 160.44, 240.84 and 102.80

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Solution

The fourth proportional to 160.44, 240.84 and 102.80 is: 154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.44 : 240.84 = 102.80 : x
  2. Step 2: Convert to fraction form
    160.44/240.84 = 102.80/x
  3. Step 3: Cross multiply
    160.44x = 240.84 × 102.80
  4. Step 4: Simplify right side
    160.44x = 24,758.35
  5. Step 5: Solve for x
    x = 24,758.35/160.44
  6. Step 6: Final answer
    x = 154.32

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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.