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Finding the Fourth Proportional to 331.89, 498.08 and 123.84

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Solution

The fourth proportional to 331.89, 498.08 and 123.84 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.89 : 498.08 = 123.84 : x
  2. Step 2: Convert to fraction form
    331.89/498.08 = 123.84/x
  3. Step 3: Cross multiply
    331.89x = 498.08 × 123.84
  4. Step 4: Simplify right side
    331.89x = 61,681.61
  5. Step 5: Solve for x
    x = 61,681.61/331.89
  6. Step 6: Final answer
    x = 185.85

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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.