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Finding the Fourth Proportional to 338.21, 507.29 and 107.10

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Solution

The fourth proportional to 338.21, 507.29 and 107.10 is: 160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.21 : 507.29 = 107.10 : x
  2. Step 2: Convert to fraction form
    338.21/507.29 = 107.10/x
  3. Step 3: Cross multiply
    338.21x = 507.29 × 107.10
  4. Step 4: Simplify right side
    338.21x = 54,330.22
  5. Step 5: Solve for x
    x = 54,330.22/338.21
  6. Step 6: Final answer
    x = 160.64

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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.