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Finding the Fourth Proportional to 338.96, 507.18 and 202.04

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Solution

The fourth proportional to 338.96, 507.18 and 202.04 is: 302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.96 : 507.18 = 202.04 : x
  2. Step 2: Convert to fraction form
    338.96/507.18 = 202.04/x
  3. Step 3: Cross multiply
    338.96x = 507.18 × 202.04
  4. Step 4: Simplify right side
    338.96x = 102,470.65
  5. Step 5: Solve for x
    x = 102,470.65/338.96
  6. Step 6: Final answer
    x = 302.31

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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.