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Finding the Fourth Proportional to 188.50, 283.00 and 161.25

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Solution

The fourth proportional to 188.50, 283.00 and 161.25 is: 242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.50 : 283.00 = 161.25 : x
  2. Step 2: Convert to fraction form
    188.50/283.00 = 161.25/x
  3. Step 3: Cross multiply
    188.50x = 283.00 × 161.25
  4. Step 4: Simplify right side
    188.50x = 45,632.94
  5. Step 5: Solve for x
    x = 45,632.94/188.50
  6. Step 6: Final answer
    x = 242.09

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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.