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Finding the Fourth Proportional to 506.61, 759.90 and 141.42

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Solution

The fourth proportional to 506.61, 759.90 and 141.42 is: 212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.61 : 759.90 = 141.42 : x
  2. Step 2: Convert to fraction form
    506.61/759.90 = 141.42/x
  3. Step 3: Cross multiply
    506.61x = 759.90 × 141.42
  4. Step 4: Simplify right side
    506.61x = 107,465.06
  5. Step 5: Solve for x
    x = 107,465.06/506.61
  6. Step 6: Final answer
    x = 212.13

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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.