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Finding the Fourth Proportional to 277.22, 382.57 and 177.69

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Solution

The fourth proportional to 277.22, 382.57 and 177.69 is: 245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.22 : 382.57 = 177.69 : x
  2. Step 2: Convert to fraction form
    277.22/382.57 = 177.69/x
  3. Step 3: Cross multiply
    277.22x = 382.57 × 177.69
  4. Step 4: Simplify right side
    277.22x = 67,980.85
  5. Step 5: Solve for x
    x = 67,980.85/277.22
  6. Step 6: Final answer
    x = 245.22

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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.