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Finding the Fourth Proportional to 245.59, 368.42 and 123.86

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Solution

The fourth proportional to 245.59, 368.42 and 123.86 is: 185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.59 : 368.42 = 123.86 : x
  2. Step 2: Convert to fraction form
    245.59/368.42 = 123.86/x
  3. Step 3: Cross multiply
    245.59x = 368.42 × 123.86
  4. Step 4: Simplify right side
    245.59x = 45,632.80
  5. Step 5: Solve for x
    x = 45,632.80/245.59
  6. Step 6: Final answer
    x = 185.81

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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.