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Finding the Fourth Proportional to 306.41, 459.72 and 123.71

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Solution

The fourth proportional to 306.41, 459.72 and 123.71 is: 185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.41 : 459.72 = 123.71 : x
  2. Step 2: Convert to fraction form
    306.41/459.72 = 123.71/x
  3. Step 3: Cross multiply
    306.41x = 459.72 × 123.71
  4. Step 4: Simplify right side
    306.41x = 56,873.11
  5. Step 5: Solve for x
    x = 56,873.11/306.41
  6. Step 6: Final answer
    x = 185.61

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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.