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Finding the Fourth Proportional to 317.42, 438.17 and 193.11

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Solution

The fourth proportional to 317.42, 438.17 and 193.11 is: 266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.42 : 438.17 = 193.11 : x
  2. Step 2: Convert to fraction form
    317.42/438.17 = 193.11/x
  3. Step 3: Cross multiply
    317.42x = 438.17 × 193.11
  4. Step 4: Simplify right side
    317.42x = 84,616.64
  5. Step 5: Solve for x
    x = 84,616.64/317.42
  6. Step 6: Final answer
    x = 266.58

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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.