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Finding the Fourth Proportional to 306.19, 459.16 and 111.15

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Solution

The fourth proportional to 306.19, 459.16 and 111.15 is: 166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.19 : 459.16 = 111.15 : x
  2. Step 2: Convert to fraction form
    306.19/459.16 = 111.15/x
  3. Step 3: Cross multiply
    306.19x = 459.16 × 111.15
  4. Step 4: Simplify right side
    306.19x = 51,035.63
  5. Step 5: Solve for x
    x = 51,035.63/306.19
  6. Step 6: Final answer
    x = 166.68

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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.