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Finding the Fourth Proportional to 190.09, 284.93 and 181.46

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Solution

The fourth proportional to 190.09, 284.93 and 181.46 is: 272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.09 : 284.93 = 181.46 : x
  2. Step 2: Convert to fraction form
    190.09/284.93 = 181.46/x
  3. Step 3: Cross multiply
    190.09x = 284.93 × 181.46
  4. Step 4: Simplify right side
    190.09x = 51,703.20
  5. Step 5: Solve for x
    x = 51,703.20/190.09
  6. Step 6: Final answer
    x = 272.00

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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.