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Finding the Fourth Proportional to 161.63, 240.91 and 154.85

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Solution

The fourth proportional to 161.63, 240.91 and 154.85 is: 230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.63 : 240.91 = 154.85 : x
  2. Step 2: Convert to fraction form
    161.63/240.91 = 154.85/x
  3. Step 3: Cross multiply
    161.63x = 240.91 × 154.85
  4. Step 4: Simplify right side
    161.63x = 37,303.32
  5. Step 5: Solve for x
    x = 37,303.32/161.63
  6. Step 6: Final answer
    x = 230.80

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