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Finding the Fourth Proportional to 272.30, 407.42 and 162.21

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Solution

The fourth proportional to 272.30, 407.42 and 162.21 is: 242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.30 : 407.42 = 162.21 : x
  2. Step 2: Convert to fraction form
    272.30/407.42 = 162.21/x
  3. Step 3: Cross multiply
    272.30x = 407.42 × 162.21
  4. Step 4: Simplify right side
    272.30x = 66,085.56
  5. Step 5: Solve for x
    x = 66,085.56/272.30
  6. Step 6: Final answer
    x = 242.69

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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.