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Finding the Fourth Proportional to 318.15, 438.77 and 213.24

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Solution

The fourth proportional to 318.15, 438.77 and 213.24 is: 294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.15 : 438.77 = 213.24 : x
  2. Step 2: Convert to fraction form
    318.15/438.77 = 213.24/x
  3. Step 3: Cross multiply
    318.15x = 438.77 × 213.24
  4. Step 4: Simplify right side
    318.15x = 93,562.25
  5. Step 5: Solve for x
    x = 93,562.25/318.15
  6. Step 6: Final answer
    x = 294.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.