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Finding the Fourth Proportional to 382.24, 572.64 and 176.32

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Solution

The fourth proportional to 382.24, 572.64 and 176.32 is: 264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.24 : 572.64 = 176.32 : x
  2. Step 2: Convert to fraction form
    382.24/572.64 = 176.32/x
  3. Step 3: Cross multiply
    382.24x = 572.64 × 176.32
  4. Step 4: Simplify right side
    382.24x = 100,967.88
  5. Step 5: Solve for x
    x = 100,967.88/382.24
  6. Step 6: Final answer
    x = 264.15

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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.