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Finding the Fourth Proportional to 306.68, 423.21 and 175.68

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Solution

The fourth proportional to 306.68, 423.21 and 175.68 is: 242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.68 : 423.21 = 175.68 : x
  2. Step 2: Convert to fraction form
    306.68/423.21 = 175.68/x
  3. Step 3: Cross multiply
    306.68x = 423.21 × 175.68
  4. Step 4: Simplify right side
    306.68x = 74,349.53
  5. Step 5: Solve for x
    x = 74,349.53/306.68
  6. Step 6: Final answer
    x = 242.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.