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Finding the Fourth Proportional to 161.39, 242.24 and 146.07

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Solution

The fourth proportional to 161.39, 242.24 and 146.07 is: 219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.39 : 242.24 = 146.07 : x
  2. Step 2: Convert to fraction form
    161.39/242.24 = 146.07/x
  3. Step 3: Cross multiply
    161.39x = 242.24 × 146.07
  4. Step 4: Simplify right side
    161.39x = 35,383.27
  5. Step 5: Solve for x
    x = 35,383.27/161.39
  6. Step 6: Final answer
    x = 219.25

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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.