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Finding the Fourth Proportional to 446.53, 669.52 and 186.71

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Solution

The fourth proportional to 446.53, 669.52 and 186.71 is: 279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.53 : 669.52 = 186.71 : x
  2. Step 2: Convert to fraction form
    446.53/669.52 = 186.71/x
  3. Step 3: Cross multiply
    446.53x = 669.52 × 186.71
  4. Step 4: Simplify right side
    446.53x = 125,006.08
  5. Step 5: Solve for x
    x = 125,006.08/446.53
  6. Step 6: Final answer
    x = 279.95

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Why These Related Problems?

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