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Finding the Fourth Proportional to 188.50, 282.75 and 74.50

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Solution

The fourth proportional to 188.50, 282.75 and 74.50 is: 111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.50 : 282.75 = 74.50 : x
  2. Step 2: Convert to fraction form
    188.50/282.75 = 74.50/x
  3. Step 3: Cross multiply
    188.50x = 282.75 × 74.50
  4. Step 4: Simplify right side
    188.50x = 21,064.88
  5. Step 5: Solve for x
    x = 21,064.88/188.50
  6. Step 6: Final answer
    x = 111.75

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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.