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Finding the Fourth Proportional to 351.83, 527.84 and 146.41

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Solution

The fourth proportional to 351.83, 527.84 and 146.41 is: 219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.83 : 527.84 = 146.41 : x
  2. Step 2: Convert to fraction form
    351.83/527.84 = 146.41/x
  3. Step 3: Cross multiply
    351.83x = 527.84 × 146.41
  4. Step 4: Simplify right side
    351.83x = 77,281.05
  5. Step 5: Solve for x
    x = 77,281.05/351.83
  6. Step 6: Final answer
    x = 219.65

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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.