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Finding the Fourth Proportional to 190.04, 286.24 and 173.02

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Solution

The fourth proportional to 190.04, 286.24 and 173.02 is: 260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.04 : 286.24 = 173.02 : x
  2. Step 2: Convert to fraction form
    190.04/286.24 = 173.02/x
  3. Step 3: Cross multiply
    190.04x = 286.24 × 173.02
  4. Step 4: Simplify right side
    190.04x = 49,525.24
  5. Step 5: Solve for x
    x = 49,525.24/190.04
  6. Step 6: Final answer
    x = 260.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.