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Finding the Fourth Proportional to 280.61, 387.27 and 164.24

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Solution

The fourth proportional to 280.61, 387.27 and 164.24 is: 226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.61 : 387.27 = 164.24 : x
  2. Step 2: Convert to fraction form
    280.61/387.27 = 164.24/x
  3. Step 3: Cross multiply
    280.61x = 387.27 × 164.24
  4. Step 4: Simplify right side
    280.61x = 63,603.29
  5. Step 5: Solve for x
    x = 63,603.29/280.61
  6. Step 6: Final answer
    x = 226.66

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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.