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Finding the Fourth Proportional to 332.84, 499.43 and 135.18

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Solution

The fourth proportional to 332.84, 499.43 and 135.18 is: 202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.84 : 499.43 = 135.18 : x
  2. Step 2: Convert to fraction form
    332.84/499.43 = 135.18/x
  3. Step 3: Cross multiply
    332.84x = 499.43 × 135.18
  4. Step 4: Simplify right side
    332.84x = 67,511.02
  5. Step 5: Solve for x
    x = 67,511.02/332.84
  6. Step 6: Final answer
    x = 202.83

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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.