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Finding the Fourth Proportional to 415.78, 623.54 and 127.14

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Solution

The fourth proportional to 415.78, 623.54 and 127.14 is: 190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.78 : 623.54 = 127.14 : x
  2. Step 2: Convert to fraction form
    415.78/623.54 = 127.14/x
  3. Step 3: Cross multiply
    415.78x = 623.54 × 127.14
  4. Step 4: Simplify right side
    415.78x = 79,276.88
  5. Step 5: Solve for x
    x = 79,276.88/415.78
  6. Step 6: Final answer
    x = 190.67

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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.