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Finding the Fourth Proportional to 328.97, 493.54 and 112.55

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Solution

The fourth proportional to 328.97, 493.54 and 112.55 is: 168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.97 : 493.54 = 112.55 : x
  2. Step 2: Convert to fraction form
    328.97/493.54 = 112.55/x
  3. Step 3: Cross multiply
    328.97x = 493.54 × 112.55
  4. Step 4: Simplify right side
    328.97x = 55,547.03
  5. Step 5: Solve for x
    x = 55,547.03/328.97
  6. Step 6: Final answer
    x = 168.85

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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.