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Finding the Fourth Proportional to 306.35, 459.12 and 123.64

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Solution

The fourth proportional to 306.35, 459.12 and 123.64 is: 185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.35 : 459.12 = 123.64 : x
  2. Step 2: Convert to fraction form
    306.35/459.12 = 123.64/x
  3. Step 3: Cross multiply
    306.35x = 459.12 × 123.64
  4. Step 4: Simplify right side
    306.35x = 56,763.30
  5. Step 5: Solve for x
    x = 56,763.30/306.35
  6. Step 6: Final answer
    x = 185.29

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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.