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Finding the Fourth Proportional to 271.02, 405.96 and 162.72

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Solution

The fourth proportional to 271.02, 405.96 and 162.72 is: 243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.02 : 405.96 = 162.72 : x
  2. Step 2: Convert to fraction form
    271.02/405.96 = 162.72/x
  3. Step 3: Cross multiply
    271.02x = 405.96 × 162.72
  4. Step 4: Simplify right side
    271.02x = 66,057.81
  5. Step 5: Solve for x
    x = 66,057.81/271.02
  6. Step 6: Final answer
    x = 243.74

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Why These Related Problems?

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