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Finding the Fourth Proportional to 277.60, 415.83 and 186.34

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Solution

The fourth proportional to 277.60, 415.83 and 186.34 is: 279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 415.83 = 186.34 : x
  2. Step 2: Convert to fraction form
    277.60/415.83 = 186.34/x
  3. Step 3: Cross multiply
    277.60x = 415.83 × 186.34
  4. Step 4: Simplify right side
    277.60x = 77,485.76
  5. Step 5: Solve for x
    x = 77,485.76/277.60
  6. Step 6: Final answer
    x = 279.13

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