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Finding the Fourth Proportional to 446.48, 670.10 and 186.64

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Solution

The fourth proportional to 446.48, 670.10 and 186.64 is: 280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.48 : 670.10 = 186.64 : x
  2. Step 2: Convert to fraction form
    446.48/670.10 = 186.64/x
  3. Step 3: Cross multiply
    446.48x = 670.10 × 186.64
  4. Step 4: Simplify right side
    446.48x = 125,067.46
  5. Step 5: Solve for x
    x = 125,067.46/446.48
  6. Step 6: Final answer
    x = 280.12

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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.