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Finding the Fourth Proportional to 338.68, 507.84 and 194.32

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Solution

The fourth proportional to 338.68, 507.84 and 194.32 is: 291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.68 : 507.84 = 194.32 : x
  2. Step 2: Convert to fraction form
    338.68/507.84 = 194.32/x
  3. Step 3: Cross multiply
    338.68x = 507.84 × 194.32
  4. Step 4: Simplify right side
    338.68x = 98,683.47
  5. Step 5: Solve for x
    x = 98,683.47/338.68
  6. Step 6: Final answer
    x = 291.38

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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.