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Finding the Fourth Proportional to 306.19, 458.94 and 159.72

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Solution

The fourth proportional to 306.19, 458.94 and 159.72 is: 239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.19 : 458.94 = 159.72 : x
  2. Step 2: Convert to fraction form
    306.19/458.94 = 159.72/x
  3. Step 3: Cross multiply
    306.19x = 458.94 × 159.72
  4. Step 4: Simplify right side
    306.19x = 73,301.90
  5. Step 5: Solve for x
    x = 73,301.90/306.19
  6. Step 6: Final answer
    x = 239.40

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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.