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Finding the Fourth Proportional to 465.10, 697.72 and 176.56

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Solution

The fourth proportional to 465.10, 697.72 and 176.56 is: 264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.10 : 697.72 = 176.56 : x
  2. Step 2: Convert to fraction form
    465.10/697.72 = 176.56/x
  3. Step 3: Cross multiply
    465.10x = 697.72 × 176.56
  4. Step 4: Simplify right side
    465.10x = 123,189.44
  5. Step 5: Solve for x
    x = 123,189.44/465.10
  6. Step 6: Final answer
    x = 264.87

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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.