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Finding the Fourth Proportional to 270.28, 405.62 and 148.64

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Solution

The fourth proportional to 270.28, 405.62 and 148.64 is: 223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.28 : 405.62 = 148.64 : x
  2. Step 2: Convert to fraction form
    270.28/405.62 = 148.64/x
  3. Step 3: Cross multiply
    270.28x = 405.62 × 148.64
  4. Step 4: Simplify right side
    270.28x = 60,290.61
  5. Step 5: Solve for x
    x = 60,290.61/270.28
  6. Step 6: Final answer
    x = 223.07

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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.