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Finding the Fourth Proportional to 415.54, 623.30 and 141.63

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Solution

The fourth proportional to 415.54, 623.30 and 141.63 is: 212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.54 : 623.30 = 141.63 : x
  2. Step 2: Convert to fraction form
    415.54/623.30 = 141.63/x
  3. Step 3: Cross multiply
    415.54x = 623.30 × 141.63
  4. Step 4: Simplify right side
    415.54x = 88,274.93
  5. Step 5: Solve for x
    x = 88,274.93/415.54
  6. Step 6: Final answer
    x = 212.43

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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.