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Finding the Fourth Proportional to 206.96, 310.68 and 176.72

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Solution

The fourth proportional to 206.96, 310.68 and 176.72 is: 265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.96 : 310.68 = 176.72 : x
  2. Step 2: Convert to fraction form
    206.96/310.68 = 176.72/x
  3. Step 3: Cross multiply
    206.96x = 310.68 × 176.72
  4. Step 4: Simplify right side
    206.96x = 54,903.37
  5. Step 5: Solve for x
    x = 54,903.37/206.96
  6. Step 6: Final answer
    x = 265.28

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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.