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Finding the Fourth Proportional to 483.90, 725.77 and 159.22

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Solution

The fourth proportional to 483.90, 725.77 and 159.22 is: 238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.90 : 725.77 = 159.22 : x
  2. Step 2: Convert to fraction form
    483.90/725.77 = 159.22/x
  3. Step 3: Cross multiply
    483.90x = 725.77 × 159.22
  4. Step 4: Simplify right side
    483.90x = 115,557.10
  5. Step 5: Solve for x
    x = 115,557.10/483.90
  6. Step 6: Final answer
    x = 238.80

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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.