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Finding the Fourth Proportional to 189.24, 260.96 and 127.06

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Solution

The fourth proportional to 189.24, 260.96 and 127.06 is: 175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.24 : 260.96 = 127.06 : x
  2. Step 2: Convert to fraction form
    189.24/260.96 = 127.06/x
  3. Step 3: Cross multiply
    189.24x = 260.96 × 127.06
  4. Step 4: Simplify right side
    189.24x = 33,157.58
  5. Step 5: Solve for x
    x = 33,157.58/189.24
  6. Step 6: Final answer
    x = 175.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.