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Finding the Fourth Proportional to 332.18, 498.23 and 137.12

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Solution

The fourth proportional to 332.18, 498.23 and 137.12 is: 205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.18 : 498.23 = 137.12 : x
  2. Step 2: Convert to fraction form
    332.18/498.23 = 137.12/x
  3. Step 3: Cross multiply
    332.18x = 498.23 × 137.12
  4. Step 4: Simplify right side
    332.18x = 68,317.30
  5. Step 5: Solve for x
    x = 68,317.30/332.18
  6. Step 6: Final answer
    x = 205.67

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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.