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Finding the Fourth Proportional to 306.24, 458.64 and 161.88

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Solution

The fourth proportional to 306.24, 458.64 and 161.88 is: 242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.24 : 458.64 = 161.88 : x
  2. Step 2: Convert to fraction form
    306.24/458.64 = 161.88/x
  3. Step 3: Cross multiply
    306.24x = 458.64 × 161.88
  4. Step 4: Simplify right side
    306.24x = 74,244.64
  5. Step 5: Solve for x
    x = 74,244.64/306.24
  6. Step 6: Final answer
    x = 242.44

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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.