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Finding the Fourth Proportional to 306.46, 459.66 and 141.89

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Solution

The fourth proportional to 306.46, 459.66 and 141.89 is: 212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.46 : 459.66 = 141.89 : x
  2. Step 2: Convert to fraction form
    306.46/459.66 = 141.89/x
  3. Step 3: Cross multiply
    306.46x = 459.66 × 141.89
  4. Step 4: Simplify right side
    306.46x = 65,221.18
  5. Step 5: Solve for x
    x = 65,221.18/306.46
  6. Step 6: Final answer
    x = 212.82

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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.