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Finding the Fourth Proportional to 318.02, 438.68 and 193.58

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Solution

The fourth proportional to 318.02, 438.68 and 193.58 is: 267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.02 : 438.68 = 193.58 : x
  2. Step 2: Convert to fraction form
    318.02/438.68 = 193.58/x
  3. Step 3: Cross multiply
    318.02x = 438.68 × 193.58
  4. Step 4: Simplify right side
    318.02x = 84,919.67
  5. Step 5: Solve for x
    x = 84,919.67/318.02
  6. Step 6: Final answer
    x = 267.03

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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.