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Finding the Fourth Proportional to 262.93, 362.35 and 189.12

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Solution

The fourth proportional to 262.93, 362.35 and 189.12 is: 260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.93 : 362.35 = 189.12 : x
  2. Step 2: Convert to fraction form
    262.93/362.35 = 189.12/x
  3. Step 3: Cross multiply
    262.93x = 362.35 × 189.12
  4. Step 4: Simplify right side
    262.93x = 68,527.63
  5. Step 5: Solve for x
    x = 68,527.63/262.93
  6. Step 6: Final answer
    x = 260.63

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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.