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Finding the Fourth Proportional to 190.14, 282.76 and 184.06

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Solution

The fourth proportional to 190.14, 282.76 and 184.06 is: 273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.14 : 282.76 = 184.06 : x
  2. Step 2: Convert to fraction form
    190.14/282.76 = 184.06/x
  3. Step 3: Cross multiply
    190.14x = 282.76 × 184.06
  4. Step 4: Simplify right side
    190.14x = 52,044.81
  5. Step 5: Solve for x
    x = 52,044.81/190.14
  6. Step 6: Final answer
    x = 273.72

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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.