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Finding the Fourth Proportional to 506.19, 759.21 and 141.03

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Solution

The fourth proportional to 506.19, 759.21 and 141.03 is: 211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.19 : 759.21 = 141.03 : x
  2. Step 2: Convert to fraction form
    506.19/759.21 = 141.03/x
  3. Step 3: Cross multiply
    506.19x = 759.21 × 141.03
  4. Step 4: Simplify right side
    506.19x = 107,071.39
  5. Step 5: Solve for x
    x = 107,071.39/506.19
  6. Step 6: Final answer
    x = 211.52

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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.