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Finding the Fourth Proportional to 270.74, 405.52 and 162.29

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Solution

The fourth proportional to 270.74, 405.52 and 162.29 is: 243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.74 : 405.52 = 162.29 : x
  2. Step 2: Convert to fraction form
    270.74/405.52 = 162.29/x
  3. Step 3: Cross multiply
    270.74x = 405.52 × 162.29
  4. Step 4: Simplify right side
    270.74x = 65,811.84
  5. Step 5: Solve for x
    x = 65,811.84/270.74
  6. Step 6: Final answer
    x = 243.08

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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.