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Finding the Fourth Proportional to 332.81, 499.21 and 116.45

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Solution

The fourth proportional to 332.81, 499.21 and 116.45 is: 174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.81 : 499.21 = 116.45 : x
  2. Step 2: Convert to fraction form
    332.81/499.21 = 116.45/x
  3. Step 3: Cross multiply
    332.81x = 499.21 × 116.45
  4. Step 4: Simplify right side
    332.81x = 58,130.22
  5. Step 5: Solve for x
    x = 58,130.22/332.81
  6. Step 6: Final answer
    x = 174.67

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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.