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Finding the Fourth Proportional to 415.72, 623.56 and 123.20

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Solution

The fourth proportional to 415.72, 623.56 and 123.20 is: 184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.72 : 623.56 = 123.20 : x
  2. Step 2: Convert to fraction form
    415.72/623.56 = 123.20/x
  3. Step 3: Cross multiply
    415.72x = 623.56 × 123.20
  4. Step 4: Simplify right side
    415.72x = 76,822.59
  5. Step 5: Solve for x
    x = 76,822.59/415.72
  6. Step 6: Final answer
    x = 184.79

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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.