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Finding the Fourth Proportional to 351.60, 527.48 and 120.48

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Solution

The fourth proportional to 351.60, 527.48 and 120.48 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.60 : 527.48 = 120.48 : x
  2. Step 2: Convert to fraction form
    351.60/527.48 = 120.48/x
  3. Step 3: Cross multiply
    351.60x = 527.48 × 120.48
  4. Step 4: Simplify right side
    351.60x = 63,551.09
  5. Step 5: Solve for x
    x = 63,551.09/351.60
  6. Step 6: Final answer
    x = 180.75

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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.