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Finding the Fourth Proportional to 369.60, 554.32 and 186.82

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Solution

The fourth proportional to 369.60, 554.32 and 186.82 is: 280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 554.32 = 186.82 : x
  2. Step 2: Convert to fraction form
    369.60/554.32 = 186.82/x
  3. Step 3: Cross multiply
    369.60x = 554.32 × 186.82
  4. Step 4: Simplify right side
    369.60x = 103,558.06
  5. Step 5: Solve for x
    x = 103,558.06/369.60
  6. Step 6: Final answer
    x = 280.19

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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.