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Finding the Fourth Proportional to 270.51, 405.68 and 241.67

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Solution

The fourth proportional to 270.51, 405.68 and 241.67 is: 362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.51 : 405.68 = 241.67 : x
  2. Step 2: Convert to fraction form
    270.51/405.68 = 241.67/x
  3. Step 3: Cross multiply
    270.51x = 405.68 × 241.67
  4. Step 4: Simplify right side
    270.51x = 98,037.45
  5. Step 5: Solve for x
    x = 98,037.45/270.51
  6. Step 6: Final answer
    x = 362.42

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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.