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Finding the Fourth Proportional to 280.50, 420.75 and 109.50

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Solution

The fourth proportional to 280.50, 420.75 and 109.50 is: 164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.50 : 420.75 = 109.50 : x
  2. Step 2: Convert to fraction form
    280.50/420.75 = 109.50/x
  3. Step 3: Cross multiply
    280.50x = 420.75 × 109.50
  4. Step 4: Simplify right side
    280.50x = 46,072.13
  5. Step 5: Solve for x
    x = 46,072.13/280.50
  6. Step 6: Final answer
    x = 164.25

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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.