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Finding the Fourth Proportional to 318.16, 476.92 and 202.56

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Solution

The fourth proportional to 318.16, 476.92 and 202.56 is: 303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.16 : 476.92 = 202.56 : x
  2. Step 2: Convert to fraction form
    318.16/476.92 = 202.56/x
  3. Step 3: Cross multiply
    318.16x = 476.92 × 202.56
  4. Step 4: Simplify right side
    318.16x = 96,604.92
  5. Step 5: Solve for x
    x = 96,604.92/318.16
  6. Step 6: Final answer
    x = 303.64

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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.