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Finding the Fourth Proportional to 306.72, 459.72 and 124

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Solution

The fourth proportional to 306.72, 459.72 and 124 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.72 : 459.72 = 124 : x
  2. Step 2: Convert to fraction form
    306.72/459.72 = 124/x
  3. Step 3: Cross multiply
    306.72x = 459.72 × 124
  4. Step 4: Simplify right side
    306.72x = 57,005.28
  5. Step 5: Solve for x
    x = 57,005.28/306.72
  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.