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Finding the Fourth Proportional to 306.42, 459.68 and 123.71

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Solution

The fourth proportional to 306.42, 459.68 and 123.71 is: 185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.42 : 459.68 = 123.71 : x
  2. Step 2: Convert to fraction form
    306.42/459.68 = 123.71/x
  3. Step 3: Cross multiply
    306.42x = 459.68 × 123.71
  4. Step 4: Simplify right side
    306.42x = 56,866.68
  5. Step 5: Solve for x
    x = 56,866.68/306.42
  6. Step 6: Final answer
    x = 185.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.