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Finding the Fourth Proportional to 484.37, 726.53 and 119.14

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Solution

The fourth proportional to 484.37, 726.53 and 119.14 is: 178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.37 : 726.53 = 119.14 : x
  2. Step 2: Convert to fraction form
    484.37/726.53 = 119.14/x
  3. Step 3: Cross multiply
    484.37x = 726.53 × 119.14
  4. Step 4: Simplify right side
    484.37x = 86,555.15
  5. Step 5: Solve for x
    x = 86,555.15/484.37
  6. Step 6: Final answer
    x = 178.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.