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Finding the Fourth Proportional to 357.54, 537.12 and 213.36

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Solution

The fourth proportional to 357.54, 537.12 and 213.36 is: 320.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.54 : 537.12 = 213.36 : x
  2. Step 2: Convert to fraction form
    357.54/537.12 = 213.36/x
  3. Step 3: Cross multiply
    357.54x = 537.12 × 213.36
  4. Step 4: Simplify right side
    357.54x = 114,599.92
  5. Step 5: Solve for x
    x = 114,599.92/357.54
  6. Step 6: Final answer
    x = 320.52

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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.