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Finding the Fourth Proportional to 336.83, 505.61 and 144.59

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Solution

The fourth proportional to 336.83, 505.61 and 144.59 is: 217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.83 : 505.61 = 144.59 : x
  2. Step 2: Convert to fraction form
    336.83/505.61 = 144.59/x
  3. Step 3: Cross multiply
    336.83x = 505.61 × 144.59
  4. Step 4: Simplify right side
    336.83x = 73,106.15
  5. Step 5: Solve for x
    x = 73,106.15/336.83
  6. Step 6: Final answer
    x = 217.04

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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.