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Finding the Fourth Proportional to 306.00, 459.08 and 110.99

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Solution

The fourth proportional to 306.00, 459.08 and 110.99 is: 166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.00 : 459.08 = 110.99 : x
  2. Step 2: Convert to fraction form
    306.00/459.08 = 110.99/x
  3. Step 3: Cross multiply
    306.00x = 459.08 × 110.99
  4. Step 4: Simplify right side
    306.00x = 50,953.29
  5. Step 5: Solve for x
    x = 50,953.29/306.00
  6. Step 6: Final answer
    x = 166.52

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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.