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Finding the Fourth Proportional to 328.98, 493.56 and 136.74

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Solution

The fourth proportional to 328.98, 493.56 and 136.74 is: 205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.98 : 493.56 = 136.74 : x
  2. Step 2: Convert to fraction form
    328.98/493.56 = 136.74/x
  3. Step 3: Cross multiply
    328.98x = 493.56 × 136.74
  4. Step 4: Simplify right side
    328.98x = 67,489.39
  5. Step 5: Solve for x
    x = 67,489.39/328.98
  6. Step 6: Final answer
    x = 205.15

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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.