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Finding the Fourth Proportional to 190.64, 283.50 and 184.56

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Solution

The fourth proportional to 190.64, 283.50 and 184.56 is: 274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.64 : 283.50 = 184.56 : x
  2. Step 2: Convert to fraction form
    190.64/283.50 = 184.56/x
  3. Step 3: Cross multiply
    190.64x = 283.50 × 184.56
  4. Step 4: Simplify right side
    190.64x = 52,322.76
  5. Step 5: Solve for x
    x = 52,322.76/190.64
  6. Step 6: Final answer
    x = 274.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.