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Finding the Fourth Proportional to 445, 667.50 and 188.50

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Solution

The fourth proportional to 445, 667.50 and 188.50 is: 282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    445 : 667.50 = 188.50 : x
  2. Step 2: Convert to fraction form
    445/667.50 = 188.50/x
  3. Step 3: Cross multiply
    445x = 667.50 × 188.50
  4. Step 4: Simplify right side
    445x = 125,823.75
  5. Step 5: Solve for x
    x = 125,823.75/445
  6. Step 6: Final answer
    x = 282.75

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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.