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Finding the Fourth Proportional to 318.10, 438.38 and 219.68

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Solution

The fourth proportional to 318.10, 438.38 and 219.68 is: 302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.10 : 438.38 = 219.68 : x
  2. Step 2: Convert to fraction form
    318.10/438.38 = 219.68/x
  3. Step 3: Cross multiply
    318.10x = 438.38 × 219.68
  4. Step 4: Simplify right side
    318.10x = 96,303.32
  5. Step 5: Solve for x
    x = 96,303.32/318.10
  6. Step 6: Final answer
    x = 302.75

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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.