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Finding the Fourth Proportional to 190.04, 283.26 and 175.46

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Solution

The fourth proportional to 190.04, 283.26 and 175.46 is: 261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.04 : 283.26 = 175.46 : x
  2. Step 2: Convert to fraction form
    190.04/283.26 = 175.46/x
  3. Step 3: Cross multiply
    190.04x = 283.26 × 175.46
  4. Step 4: Simplify right side
    190.04x = 49,700.80
  5. Step 5: Solve for x
    x = 49,700.80/190.04
  6. Step 6: Final answer
    x = 261.53

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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.