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Finding the Fourth Proportional to 407.61, 611.04 and 164.07

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Solution

The fourth proportional to 407.61, 611.04 and 164.07 is: 245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.61 : 611.04 = 164.07 : x
  2. Step 2: Convert to fraction form
    407.61/611.04 = 164.07/x
  3. Step 3: Cross multiply
    407.61x = 611.04 × 164.07
  4. Step 4: Simplify right side
    407.61x = 100,253.33
  5. Step 5: Solve for x
    x = 100,253.33/407.61
  6. Step 6: Final answer
    x = 245.95

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