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Finding the Fourth Proportional to 189.93, 262.10 and 102.60

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Solution

The fourth proportional to 189.93, 262.10 and 102.60 is: 141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.93 : 262.10 = 102.60 : x
  2. Step 2: Convert to fraction form
    189.93/262.10 = 102.60/x
  3. Step 3: Cross multiply
    189.93x = 262.10 × 102.60
  4. Step 4: Simplify right side
    189.93x = 26,892.19
  5. Step 5: Solve for x
    x = 26,892.19/189.93
  6. Step 6: Final answer
    x = 141.59

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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.