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Finding the Fourth Proportional to 189.86, 262.13 and 127.82

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Solution

The fourth proportional to 189.86, 262.13 and 127.82 is: 176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.86 : 262.13 = 127.82 : x
  2. Step 2: Convert to fraction form
    189.86/262.13 = 127.82/x
  3. Step 3: Cross multiply
    189.86x = 262.13 × 127.82
  4. Step 4: Simplify right side
    189.86x = 33,503.51
  5. Step 5: Solve for x
    x = 33,503.51/189.86
  6. Step 6: Final answer
    x = 176.47

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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.