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Finding the Fourth Proportional to 280.90, 387.70 and 164.46

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Solution

The fourth proportional to 280.90, 387.70 and 164.46 is: 226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.90 : 387.70 = 164.46 : x
  2. Step 2: Convert to fraction form
    280.90/387.70 = 164.46/x
  3. Step 3: Cross multiply
    280.90x = 387.70 × 164.46
  4. Step 4: Simplify right side
    280.90x = 63,761.14
  5. Step 5: Solve for x
    x = 63,761.14/280.90
  6. Step 6: Final answer
    x = 226.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.