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Finding the Fourth Proportional to 411.78, 617.54 and 123.14

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Solution

The fourth proportional to 411.78, 617.54 and 123.14 is: 184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.78 : 617.54 = 123.14 : x
  2. Step 2: Convert to fraction form
    411.78/617.54 = 123.14/x
  3. Step 3: Cross multiply
    411.78x = 617.54 × 123.14
  4. Step 4: Simplify right side
    411.78x = 76,043.88
  5. Step 5: Solve for x
    x = 76,043.88/411.78
  6. Step 6: Final answer
    x = 184.67

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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.