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Finding the Fourth Proportional to 338.01, 507.02 and 81.51

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Solution

The fourth proportional to 338.01, 507.02 and 81.51 is: 122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.01 : 507.02 = 81.51 : x
  2. Step 2: Convert to fraction form
    338.01/507.02 = 81.51/x
  3. Step 3: Cross multiply
    338.01x = 507.02 × 81.51
  4. Step 4: Simplify right side
    338.01x = 41,326.79
  5. Step 5: Solve for x
    x = 41,326.79/338.01
  6. Step 6: Final answer
    x = 122.27

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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.