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Finding the Fourth Proportional to 415.61, 623.27 and 165.38

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Solution

The fourth proportional to 415.61, 623.27 and 165.38 is: 248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.61 : 623.27 = 165.38 : x
  2. Step 2: Convert to fraction form
    415.61/623.27 = 165.38/x
  3. Step 3: Cross multiply
    415.61x = 623.27 × 165.38
  4. Step 4: Simplify right side
    415.61x = 103,072.45
  5. Step 5: Solve for x
    x = 103,072.45/415.61
  6. Step 6: Final answer
    x = 248.00

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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.