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Finding the Fourth Proportional to 410.64, 615.81 and 167.09

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Solution

The fourth proportional to 410.64, 615.81 and 167.09 is: 250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.64 : 615.81 = 167.09 : x
  2. Step 2: Convert to fraction form
    410.64/615.81 = 167.09/x
  3. Step 3: Cross multiply
    410.64x = 615.81 × 167.09
  4. Step 4: Simplify right side
    410.64x = 102,895.55
  5. Step 5: Solve for x
    x = 102,895.55/410.64
  6. Step 6: Final answer
    x = 250.57

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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.