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Finding the Fourth Proportional to 280.65, 420.44 and 159

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Solution

The fourth proportional to 280.65, 420.44 and 159 is: 238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.65 : 420.44 = 159 : x
  2. Step 2: Convert to fraction form
    280.65/420.44 = 159/x
  3. Step 3: Cross multiply
    280.65x = 420.44 × 159
  4. Step 4: Simplify right side
    280.65x = 66,849.17
  5. Step 5: Solve for x
    x = 66,849.17/280.65
  6. Step 6: Final answer
    x = 238.19

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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.