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Finding the Fourth Proportional to 162.09, 241.39 and 155.07

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Solution

The fourth proportional to 162.09, 241.39 and 155.07 is: 230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.09 : 241.39 = 155.07 : x
  2. Step 2: Convert to fraction form
    162.09/241.39 = 155.07/x
  3. Step 3: Cross multiply
    162.09x = 241.39 × 155.07
  4. Step 4: Simplify right side
    162.09x = 37,432.54
  5. Step 5: Solve for x
    x = 37,432.54/162.09
  6. Step 6: Final answer
    x = 230.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.