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Finding the Fourth Proportional to 410.64, 615.74 and 163.66

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Solution

The fourth proportional to 410.64, 615.74 and 163.66 is: 245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.64 : 615.74 = 163.66 : x
  2. Step 2: Convert to fraction form
    410.64/615.74 = 163.66/x
  3. Step 3: Cross multiply
    410.64x = 615.74 × 163.66
  4. Step 4: Simplify right side
    410.64x = 100,772.01
  5. Step 5: Solve for x
    x = 100,772.01/410.64
  6. Step 6: Final answer
    x = 245.40

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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.