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Finding the Fourth Proportional to 446.41, 669.52 and 186.40

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Solution

The fourth proportional to 446.41, 669.52 and 186.40 is: 279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.41 : 669.52 = 186.40 : x
  2. Step 2: Convert to fraction form
    446.41/669.52 = 186.40/x
  3. Step 3: Cross multiply
    446.41x = 669.52 × 186.40
  4. Step 4: Simplify right side
    446.41x = 124,798.55
  5. Step 5: Solve for x
    x = 124,798.55/446.41
  6. Step 6: Final answer
    x = 279.56

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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.