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Finding the Fourth Proportional to 415.79, 623.78 and 127.22

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Solution

The fourth proportional to 415.79, 623.78 and 127.22 is: 190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.79 : 623.78 = 127.22 : x
  2. Step 2: Convert to fraction form
    415.79/623.78 = 127.22/x
  3. Step 3: Cross multiply
    415.79x = 623.78 × 127.22
  4. Step 4: Simplify right side
    415.79x = 79,359.17
  5. Step 5: Solve for x
    x = 79,359.17/415.79
  6. Step 6: Final answer
    x = 190.87

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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.