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Finding the Fourth Proportional to 338.88, 507.76 and 122.32

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Solution

The fourth proportional to 338.88, 507.76 and 122.32 is: 183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.88 : 507.76 = 122.32 : x
  2. Step 2: Convert to fraction form
    338.88/507.76 = 122.32/x
  3. Step 3: Cross multiply
    338.88x = 507.76 × 122.32
  4. Step 4: Simplify right side
    338.88x = 62,109.20
  5. Step 5: Solve for x
    x = 62,109.20/338.88
  6. Step 6: Final answer
    x = 183.28

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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.