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Finding the Fourth Proportional to 280.09, 419.64 and 177.22

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Solution

The fourth proportional to 280.09, 419.64 and 177.22 is: 265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.09 : 419.64 = 177.22 : x
  2. Step 2: Convert to fraction form
    280.09/419.64 = 177.22/x
  3. Step 3: Cross multiply
    280.09x = 419.64 × 177.22
  4. Step 4: Simplify right side
    280.09x = 74,368.60
  5. Step 5: Solve for x
    x = 74,368.60/280.09
  6. Step 6: Final answer
    x = 265.52

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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.