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Finding the Fourth Proportional to 333.60, 500.44 and 117.20

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Solution

The fourth proportional to 333.60, 500.44 and 117.20 is: 175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.60 : 500.44 = 117.20 : x
  2. Step 2: Convert to fraction form
    333.60/500.44 = 117.20/x
  3. Step 3: Cross multiply
    333.60x = 500.44 × 117.20
  4. Step 4: Simplify right side
    333.60x = 58,651.57
  5. Step 5: Solve for x
    x = 58,651.57/333.60
  6. Step 6: Final answer
    x = 175.81

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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.