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Finding the Fourth Proportional to 306.56, 459.98 and 124.08

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Solution

The fourth proportional to 306.56, 459.98 and 124.08 is: 186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.56 : 459.98 = 124.08 : x
  2. Step 2: Convert to fraction form
    306.56/459.98 = 124.08/x
  3. Step 3: Cross multiply
    306.56x = 459.98 × 124.08
  4. Step 4: Simplify right side
    306.56x = 57,074.32
  5. Step 5: Solve for x
    x = 57,074.32/306.56
  6. Step 6: Final answer
    x = 186.18

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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.