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Finding the Fourth Proportional to 280.55, 387.10 and 164.05

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Solution

The fourth proportional to 280.55, 387.10 and 164.05 is: 226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.55 : 387.10 = 164.05 : x
  2. Step 2: Convert to fraction form
    280.55/387.10 = 164.05/x
  3. Step 3: Cross multiply
    280.55x = 387.10 × 164.05
  4. Step 4: Simplify right side
    280.55x = 63,503.76
  5. Step 5: Solve for x
    x = 63,503.76/280.55
  6. Step 6: Final answer
    x = 226.35

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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.