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Finding the Fourth Proportional to 318.34, 478.14 and 193.52

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Solution

The fourth proportional to 318.34, 478.14 and 193.52 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.34 : 478.14 = 193.52 : x
  2. Step 2: Convert to fraction form
    318.34/478.14 = 193.52/x
  3. Step 3: Cross multiply
    318.34x = 478.14 × 193.52
  4. Step 4: Simplify right side
    318.34x = 92,528.52
  5. Step 5: Solve for x
    x = 92,528.52/318.34
  6. Step 6: Final answer
    x = 290.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.