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Finding the Fourth Proportional to 161.63, 242.08 and 148.99

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Solution

The fourth proportional to 161.63, 242.08 and 148.99 is: 223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.63 : 242.08 = 148.99 : x
  2. Step 2: Convert to fraction form
    161.63/242.08 = 148.99/x
  3. Step 3: Cross multiply
    161.63x = 242.08 × 148.99
  4. Step 4: Simplify right side
    161.63x = 36,067.24
  5. Step 5: Solve for x
    x = 36,067.24/161.63
  6. Step 6: Final answer
    x = 223.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.