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Finding the Fourth Proportional to 190.19, 284.65 and 155.60

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Solution

The fourth proportional to 190.19, 284.65 and 155.60 is: 232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.19 : 284.65 = 155.60 : x
  2. Step 2: Convert to fraction form
    190.19/284.65 = 155.60/x
  3. Step 3: Cross multiply
    190.19x = 284.65 × 155.60
  4. Step 4: Simplify right side
    190.19x = 44,290.65
  5. Step 5: Solve for x
    x = 44,290.65/190.19
  6. Step 6: Final answer
    x = 232.87

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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.