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Finding the Fourth Proportional to 160.44, 240.26 and 102.49

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Solution

The fourth proportional to 160.44, 240.26 and 102.49 is: 153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.44 : 240.26 = 102.49 : x
  2. Step 2: Convert to fraction form
    160.44/240.26 = 102.49/x
  3. Step 3: Cross multiply
    160.44x = 240.26 × 102.49
  4. Step 4: Simplify right side
    160.44x = 24,623.71
  5. Step 5: Solve for x
    x = 24,623.71/160.44
  6. Step 6: Final answer
    x = 153.48

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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.