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Finding the Fourth Proportional to 354.12, 531.36 and 146.04

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Solution

The fourth proportional to 354.12, 531.36 and 146.04 is: 219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.12 : 531.36 = 146.04 : x
  2. Step 2: Convert to fraction form
    354.12/531.36 = 146.04/x
  3. Step 3: Cross multiply
    354.12x = 531.36 × 146.04
  4. Step 4: Simplify right side
    354.12x = 77,597.41
  5. Step 5: Solve for x
    x = 77,597.41/354.12
  6. Step 6: Final answer
    x = 219.13

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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.