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Finding the Fourth Proportional to 280.06, 419.82 and 177.09

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Solution

The fourth proportional to 280.06, 419.82 and 177.09 is: 265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.06 : 419.82 = 177.09 : x
  2. Step 2: Convert to fraction form
    280.06/419.82 = 177.09/x
  3. Step 3: Cross multiply
    280.06x = 419.82 × 177.09
  4. Step 4: Simplify right side
    280.06x = 74,343.69
  5. Step 5: Solve for x
    x = 74,343.69/280.06
  6. Step 6: Final answer
    x = 265.46

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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.