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Finding the Fourth Proportional to 328.07, 492.10 and 165.71

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Solution

The fourth proportional to 328.07, 492.10 and 165.71 is: 248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.07 : 492.10 = 165.71 : x
  2. Step 2: Convert to fraction form
    328.07/492.10 = 165.71/x
  3. Step 3: Cross multiply
    328.07x = 492.10 × 165.71
  4. Step 4: Simplify right side
    328.07x = 81,543.02
  5. Step 5: Solve for x
    x = 81,543.02/328.07
  6. Step 6: Final answer
    x = 248.56

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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.