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Finding the Fourth Proportional to 351.84, 527.84 and 135.40

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Solution

The fourth proportional to 351.84, 527.84 and 135.40 is: 203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 527.84 = 135.40 : x
  2. Step 2: Convert to fraction form
    351.84/527.84 = 135.40/x
  3. Step 3: Cross multiply
    351.84x = 527.84 × 135.40
  4. Step 4: Simplify right side
    351.84x = 71,469.54
  5. Step 5: Solve for x
    x = 71,469.54/351.84
  6. Step 6: Final answer
    x = 203.13

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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.