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Finding the Fourth Proportional to 208.64, 313.26 and 127.64

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Solution

The fourth proportional to 208.64, 313.26 and 127.64 is: 191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 313.26 = 127.64 : x
  2. Step 2: Convert to fraction form
    208.64/313.26 = 127.64/x
  3. Step 3: Cross multiply
    208.64x = 313.26 × 127.64
  4. Step 4: Simplify right side
    208.64x = 39,984.51
  5. Step 5: Solve for x
    x = 39,984.51/208.64
  6. Step 6: Final answer
    x = 191.64

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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.