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Finding the Fourth Proportional to 160.19, 240.08 and 138.36

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Solution

The fourth proportional to 160.19, 240.08 and 138.36 is: 207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.19 : 240.08 = 138.36 : x
  2. Step 2: Convert to fraction form
    160.19/240.08 = 138.36/x
  3. Step 3: Cross multiply
    160.19x = 240.08 × 138.36
  4. Step 4: Simplify right side
    160.19x = 33,216.78
  5. Step 5: Solve for x
    x = 33,216.78/160.19
  6. Step 6: Final answer
    x = 207.37

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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.