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Finding the Fourth Proportional to 189.76, 286.12 and 178.06

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Solution

The fourth proportional to 189.76, 286.12 and 178.06 is: 268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.76 : 286.12 = 178.06 : x
  2. Step 2: Convert to fraction form
    189.76/286.12 = 178.06/x
  3. Step 3: Cross multiply
    189.76x = 286.12 × 178.06
  4. Step 4: Simplify right side
    189.76x = 50,946.53
  5. Step 5: Solve for x
    x = 50,946.53/189.76
  6. Step 6: Final answer
    x = 268.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.