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Finding the Fourth Proportional to 161.34, 242.10 and 149.10

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Solution

The fourth proportional to 161.34, 242.10 and 149.10 is: 223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.34 : 242.10 = 149.10 : x
  2. Step 2: Convert to fraction form
    161.34/242.10 = 149.10/x
  3. Step 3: Cross multiply
    161.34x = 242.10 × 149.10
  4. Step 4: Simplify right side
    161.34x = 36,097.11
  5. Step 5: Solve for x
    x = 36,097.11/161.34
  6. Step 6: Final answer
    x = 223.73

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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.