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Finding the Fourth Proportional to 280.67, 421.01 and 118.25

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Solution

The fourth proportional to 280.67, 421.01 and 118.25 is: 177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.67 : 421.01 = 118.25 : x
  2. Step 2: Convert to fraction form
    280.67/421.01 = 118.25/x
  3. Step 3: Cross multiply
    280.67x = 421.01 × 118.25
  4. Step 4: Simplify right side
    280.67x = 49,785.34
  5. Step 5: Solve for x
    x = 49,785.34/280.67
  6. Step 6: Final answer
    x = 177.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.