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Finding the Fourth Proportional to 338.04, 506.42 and 193.32

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Solution

The fourth proportional to 338.04, 506.42 and 193.32 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.04 : 506.42 = 193.32 : x
  2. Step 2: Convert to fraction form
    338.04/506.42 = 193.32/x
  3. Step 3: Cross multiply
    338.04x = 506.42 × 193.32
  4. Step 4: Simplify right side
    338.04x = 97,901.11
  5. Step 5: Solve for x
    x = 97,901.11/338.04
  6. Step 6: Final answer
    x = 289.61

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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.