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Finding the Fourth Proportional to 325.96, 488.62 and 130.84

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Solution

The fourth proportional to 325.96, 488.62 and 130.84 is: 196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.96 : 488.62 = 130.84 : x
  2. Step 2: Convert to fraction form
    325.96/488.62 = 130.84/x
  3. Step 3: Cross multiply
    325.96x = 488.62 × 130.84
  4. Step 4: Simplify right side
    325.96x = 63,931.04
  5. Step 5: Solve for x
    x = 63,931.04/325.96
  6. Step 6: Final answer
    x = 196.13

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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.