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Finding the Fourth Proportional to 190.02, 284.72 and 182.92

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Solution

The fourth proportional to 190.02, 284.72 and 182.92 is: 274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.02 : 284.72 = 182.92 : x
  2. Step 2: Convert to fraction form
    190.02/284.72 = 182.92/x
  3. Step 3: Cross multiply
    190.02x = 284.72 × 182.92
  4. Step 4: Simplify right side
    190.02x = 52,080.98
  5. Step 5: Solve for x
    x = 52,080.98/190.02
  6. Step 6: Final answer
    x = 274.08

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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.