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Finding the Fourth Proportional to 189.95, 262.15 and 116.31

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Solution

The fourth proportional to 189.95, 262.15 and 116.31 is: 160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.95 : 262.15 = 116.31 : x
  2. Step 2: Convert to fraction form
    189.95/262.15 = 116.31/x
  3. Step 3: Cross multiply
    189.95x = 262.15 × 116.31
  4. Step 4: Simplify right side
    189.95x = 30,490.67
  5. Step 5: Solve for x
    x = 30,490.67/189.95
  6. Step 6: Final answer
    x = 160.52

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Why These Related Problems?

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