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Finding the Fourth Proportional to 318.02, 476.61 and 163.91

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Solution

The fourth proportional to 318.02, 476.61 and 163.91 is: 245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.02 : 476.61 = 163.91 : x
  2. Step 2: Convert to fraction form
    318.02/476.61 = 163.91/x
  3. Step 3: Cross multiply
    318.02x = 476.61 × 163.91
  4. Step 4: Simplify right side
    318.02x = 78,118.76
  5. Step 5: Solve for x
    x = 78,118.76/318.02
  6. Step 6: Final answer
    x = 245.64

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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.