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Finding the Fourth Proportional to 280.96, 387.70 and 164.50

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Solution

The fourth proportional to 280.96, 387.70 and 164.50 is: 227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.96 : 387.70 = 164.50 : x
  2. Step 2: Convert to fraction form
    280.96/387.70 = 164.50/x
  3. Step 3: Cross multiply
    280.96x = 387.70 × 164.50
  4. Step 4: Simplify right side
    280.96x = 63,776.65
  5. Step 5: Solve for x
    x = 63,776.65/280.96
  6. Step 6: Final answer
    x = 227.00

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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.