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Finding the Fourth Proportional to 189.84, 284.77 and 45.56

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Solution

The fourth proportional to 189.84, 284.77 and 45.56 is: 68.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 284.77 = 45.56 : x
  2. Step 2: Convert to fraction form
    189.84/284.77 = 45.56/x
  3. Step 3: Cross multiply
    189.84x = 284.77 × 45.56
  4. Step 4: Simplify right side
    189.84x = 12,974.63
  5. Step 5: Solve for x
    x = 12,974.63/189.84
  6. Step 6: Final answer
    x = 68.34

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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.