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Finding the Fourth Proportional to 415.91, 623.88 and 141.90

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Solution

The fourth proportional to 415.91, 623.88 and 141.90 is: 212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.91 : 623.88 = 141.90 : x
  2. Step 2: Convert to fraction form
    415.91/623.88 = 141.90/x
  3. Step 3: Cross multiply
    415.91x = 623.88 × 141.90
  4. Step 4: Simplify right side
    415.91x = 88,528.57
  5. Step 5: Solve for x
    x = 88,528.57/415.91
  6. Step 6: Final answer
    x = 212.86

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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.