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Finding the Fourth Proportional to 189.84, 284.94 and 178.05

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Solution

The fourth proportional to 189.84, 284.94 and 178.05 is: 267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 284.94 = 178.05 : x
  2. Step 2: Convert to fraction form
    189.84/284.94 = 178.05/x
  3. Step 3: Cross multiply
    189.84x = 284.94 × 178.05
  4. Step 4: Simplify right side
    189.84x = 50,733.57
  5. Step 5: Solve for x
    x = 50,733.57/189.84
  6. Step 6: Final answer
    x = 267.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.