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Finding the Fourth Proportional to 328.71, 493.14 and 112.29

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Solution

The fourth proportional to 328.71, 493.14 and 112.29 is: 168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.71 : 493.14 = 112.29 : x
  2. Step 2: Convert to fraction form
    328.71/493.14 = 112.29/x
  3. Step 3: Cross multiply
    328.71x = 493.14 × 112.29
  4. Step 4: Simplify right side
    328.71x = 55,374.69
  5. Step 5: Solve for x
    x = 55,374.69/328.71
  6. Step 6: Final answer
    x = 168.46

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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.