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Finding the Fourth Proportional to 280.95, 420.93 and 159

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Solution

The fourth proportional to 280.95, 420.93 and 159 is: 238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.95 : 420.93 = 159 : x
  2. Step 2: Convert to fraction form
    280.95/420.93 = 159/x
  3. Step 3: Cross multiply
    280.95x = 420.93 × 159
  4. Step 4: Simplify right side
    280.95x = 66,927.87
  5. Step 5: Solve for x
    x = 66,927.87/280.95
  6. Step 6: Final answer
    x = 238.22

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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.