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Finding the Fourth Proportional to 415.73, 623.66 and 138

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Solution

The fourth proportional to 415.73, 623.66 and 138 is: 207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.73 : 623.66 = 138 : x
  2. Step 2: Convert to fraction form
    415.73/623.66 = 138/x
  3. Step 3: Cross multiply
    415.73x = 623.66 × 138
  4. Step 4: Simplify right side
    415.73x = 86,065.08
  5. Step 5: Solve for x
    x = 86,065.08/415.73
  6. Step 6: Final answer
    x = 207.02

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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.