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Finding the Fourth Proportional to 328.19, 492.31 and 165.72

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Solution

The fourth proportional to 328.19, 492.31 and 165.72 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.19 : 492.31 = 165.72 : x
  2. Step 2: Convert to fraction form
    328.19/492.31 = 165.72/x
  3. Step 3: Cross multiply
    328.19x = 492.31 × 165.72
  4. Step 4: Simplify right side
    328.19x = 81,585.61
  5. Step 5: Solve for x
    x = 81,585.61/328.19
  6. Step 6: Final answer
    x = 248.59

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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.