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Finding the Fourth Proportional to 421.11, 631.63 and 164.61

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Solution

The fourth proportional to 421.11, 631.63 and 164.61 is: 246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.11 : 631.63 = 164.61 : x
  2. Step 2: Convert to fraction form
    421.11/631.63 = 164.61/x
  3. Step 3: Cross multiply
    421.11x = 631.63 × 164.61
  4. Step 4: Simplify right side
    421.11x = 103,972.61
  5. Step 5: Solve for x
    x = 103,972.61/421.11
  6. Step 6: Final answer
    x = 246.90

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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.