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Finding the Fourth Proportional to 333.89, 500.83 and 117.48

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Solution

The fourth proportional to 333.89, 500.83 and 117.48 is: 176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.89 : 500.83 = 117.48 : x
  2. Step 2: Convert to fraction form
    333.89/500.83 = 117.48/x
  3. Step 3: Cross multiply
    333.89x = 500.83 × 117.48
  4. Step 4: Simplify right side
    333.89x = 58,837.21
  5. Step 5: Solve for x
    x = 58,837.21/333.89
  6. Step 6: Final answer
    x = 176.22

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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.