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Finding the Fourth Proportional to 336.54, 504.81 and 193.17

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Solution

The fourth proportional to 336.54, 504.81 and 193.17 is: 289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.54 : 504.81 = 193.17 : x
  2. Step 2: Convert to fraction form
    336.54/504.81 = 193.17/x
  3. Step 3: Cross multiply
    336.54x = 504.81 × 193.17
  4. Step 4: Simplify right side
    336.54x = 97,514.15
  5. Step 5: Solve for x
    x = 97,514.15/336.54
  6. Step 6: Final answer
    x = 289.76

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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.