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Finding the Fourth Proportional to 370.62, 555.92 and 123.84

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Solution

The fourth proportional to 370.62, 555.92 and 123.84 is: 185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.62 : 555.92 = 123.84 : x
  2. Step 2: Convert to fraction form
    370.62/555.92 = 123.84/x
  3. Step 3: Cross multiply
    370.62x = 555.92 × 123.84
  4. Step 4: Simplify right side
    370.62x = 68,843.76
  5. Step 5: Solve for x
    x = 68,843.76/370.62
  6. Step 6: Final answer
    x = 185.75

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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.