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Finding the Fourth Proportional to 270.51, 405.62 and 131.64

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Solution

The fourth proportional to 270.51, 405.62 and 131.64 is: 197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.51 : 405.62 = 131.64 : x
  2. Step 2: Convert to fraction form
    270.51/405.62 = 131.64/x
  3. Step 3: Cross multiply
    270.51x = 405.62 × 131.64
  4. Step 4: Simplify right side
    270.51x = 53,397.91
  5. Step 5: Solve for x
    x = 53,397.91/270.51
  6. Step 6: Final answer
    x = 197.39

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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.