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Finding the Fourth Proportional to 505.24, 757.91 and 176.20

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Solution

The fourth proportional to 505.24, 757.91 and 176.20 is: 264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.24 : 757.91 = 176.20 : x
  2. Step 2: Convert to fraction form
    505.24/757.91 = 176.20/x
  3. Step 3: Cross multiply
    505.24x = 757.91 × 176.20
  4. Step 4: Simplify right side
    505.24x = 133,543.43
  5. Step 5: Solve for x
    x = 133,543.43/505.24
  6. Step 6: Final answer
    x = 264.32

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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.