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Finding the Fourth Proportional to 306.96, 423.58 and 175.96

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Solution

The fourth proportional to 306.96, 423.58 and 175.96 is: 242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.96 : 423.58 = 175.96 : x
  2. Step 2: Convert to fraction form
    306.96/423.58 = 175.96/x
  3. Step 3: Cross multiply
    306.96x = 423.58 × 175.96
  4. Step 4: Simplify right side
    306.96x = 74,533.14
  5. Step 5: Solve for x
    x = 74,533.14/306.96
  6. Step 6: Final answer
    x = 242.81

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Why These Related Problems?

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