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Finding the Fourth Proportional to 415.34, 623.00 and 141.42

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Solution

The fourth proportional to 415.34, 623.00 and 141.42 is: 212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.34 : 623.00 = 141.42 : x
  2. Step 2: Convert to fraction form
    415.34/623.00 = 141.42/x
  3. Step 3: Cross multiply
    415.34x = 623.00 × 141.42
  4. Step 4: Simplify right side
    415.34x = 88,103.95
  5. Step 5: Solve for x
    x = 88,103.95/415.34
  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.