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Finding the Fourth Proportional to 270.59, 405.94 and 148.79

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Solution

The fourth proportional to 270.59, 405.94 and 148.79 is: 223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.59 : 405.94 = 148.79 : x
  2. Step 2: Convert to fraction form
    270.59/405.94 = 148.79/x
  3. Step 3: Cross multiply
    270.59x = 405.94 × 148.79
  4. Step 4: Simplify right side
    270.59x = 60,397.41
  5. Step 5: Solve for x
    x = 60,397.41/270.59
  6. Step 6: Final answer
    x = 223.21

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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.