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Finding the Fourth Proportional to 446.33, 669.07 and 186.17

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Solution

The fourth proportional to 446.33, 669.07 and 186.17 is: 279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.33 : 669.07 = 186.17 : x
  2. Step 2: Convert to fraction form
    446.33/669.07 = 186.17/x
  3. Step 3: Cross multiply
    446.33x = 669.07 × 186.17
  4. Step 4: Simplify right side
    446.33x = 124,560.76
  5. Step 5: Solve for x
    x = 124,560.76/446.33
  6. Step 6: Final answer
    x = 279.08

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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.