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Finding the Fourth Proportional to 280.51, 386.91 and 164.00

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Solution

The fourth proportional to 280.51, 386.91 and 164.00 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.51 : 386.91 = 164.00 : x
  2. Step 2: Convert to fraction form
    280.51/386.91 = 164.00/x
  3. Step 3: Cross multiply
    280.51x = 386.91 × 164.00
  4. Step 4: Simplify right side
    280.51x = 63,454.21
  5. Step 5: Solve for x
    x = 63,454.21/280.51
  6. Step 6: Final answer
    x = 226.21

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