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Finding the Fourth Proportional to 333.06, 499.58 and 113.66

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Solution

The fourth proportional to 333.06, 499.58 and 113.66 is: 170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.06 : 499.58 = 113.66 : x
  2. Step 2: Convert to fraction form
    333.06/499.58 = 113.66/x
  3. Step 3: Cross multiply
    333.06x = 499.58 × 113.66
  4. Step 4: Simplify right side
    333.06x = 56,779.20
  5. Step 5: Solve for x
    x = 56,779.20/333.06
  6. Step 6: Final answer
    x = 170.48

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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.