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Finding the Fourth Proportional to 187.26, 280.80 and 106.08

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Solution

The fourth proportional to 187.26, 280.80 and 106.08 is: 159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.26 : 280.80 = 106.08 : x
  2. Step 2: Convert to fraction form
    187.26/280.80 = 106.08/x
  3. Step 3: Cross multiply
    187.26x = 280.80 × 106.08
  4. Step 4: Simplify right side
    187.26x = 29,787.26
  5. Step 5: Solve for x
    x = 29,787.26/187.26
  6. Step 6: Final answer
    x = 159.07

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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.