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Finding the Fourth Proportional to 306.74, 423.33 and 175.74

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Solution

The fourth proportional to 306.74, 423.33 and 175.74 is: 242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.74 : 423.33 = 175.74 : x
  2. Step 2: Convert to fraction form
    306.74/423.33 = 175.74/x
  3. Step 3: Cross multiply
    306.74x = 423.33 × 175.74
  4. Step 4: Simplify right side
    306.74x = 74,396.01
  5. Step 5: Solve for x
    x = 74,396.01/306.74
  6. Step 6: Final answer
    x = 242.54

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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.