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Finding the Fourth Proportional to 318, 476.64 and 188.04

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Solution

The fourth proportional to 318, 476.64 and 188.04 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318 : 476.64 = 188.04 : x
  2. Step 2: Convert to fraction form
    318/476.64 = 188.04/x
  3. Step 3: Cross multiply
    318x = 476.64 × 188.04
  4. Step 4: Simplify right side
    318x = 89,627.39
  5. Step 5: Solve for x
    x = 89,627.39/318
  6. Step 6: Final answer
    x = 281.85

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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.