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Finding the Fourth Proportional to 332.19, 498.09 and 165.42

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Solution

The fourth proportional to 332.19, 498.09 and 165.42 is: 248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.19 : 498.09 = 165.42 : x
  2. Step 2: Convert to fraction form
    332.19/498.09 = 165.42/x
  3. Step 3: Cross multiply
    332.19x = 498.09 × 165.42
  4. Step 4: Simplify right side
    332.19x = 82,394.05
  5. Step 5: Solve for x
    x = 82,394.05/332.19
  6. Step 6: Final answer
    x = 248.03

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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.