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Finding the Fourth Proportional to 277.34, 382.60 and 179.06

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Solution

The fourth proportional to 277.34, 382.60 and 179.06 is: 247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.34 : 382.60 = 179.06 : x
  2. Step 2: Convert to fraction form
    277.34/382.60 = 179.06/x
  3. Step 3: Cross multiply
    277.34x = 382.60 × 179.06
  4. Step 4: Simplify right side
    277.34x = 68,508.36
  5. Step 5: Solve for x
    x = 68,508.36/277.34
  6. Step 6: Final answer
    x = 247.02

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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.