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Finding the Fourth Proportional to 407.52, 610.90 and 164.22

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Solution

The fourth proportional to 407.52, 610.90 and 164.22 is: 246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.52 : 610.90 = 164.22 : x
  2. Step 2: Convert to fraction form
    407.52/610.90 = 164.22/x
  3. Step 3: Cross multiply
    407.52x = 610.90 × 164.22
  4. Step 4: Simplify right side
    407.52x = 100,322.00
  5. Step 5: Solve for x
    x = 100,322.00/407.52
  6. Step 6: Final answer
    x = 246.18

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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.