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Finding the Fourth Proportional to 415.44, 623.40 and 159.12

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Solution

The fourth proportional to 415.44, 623.40 and 159.12 is: 238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.44 : 623.40 = 159.12 : x
  2. Step 2: Convert to fraction form
    415.44/623.40 = 159.12/x
  3. Step 3: Cross multiply
    415.44x = 623.40 × 159.12
  4. Step 4: Simplify right side
    415.44x = 99,195.41
  5. Step 5: Solve for x
    x = 99,195.41/415.44
  6. Step 6: Final answer
    x = 238.77

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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.