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Finding the Fourth Proportional to 261.39, 361.05 and 230.42

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Solution

The fourth proportional to 261.39, 361.05 and 230.42 is: 318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.39 : 361.05 = 230.42 : x
  2. Step 2: Convert to fraction form
    261.39/361.05 = 230.42/x
  3. Step 3: Cross multiply
    261.39x = 361.05 × 230.42
  4. Step 4: Simplify right side
    261.39x = 83,191.34
  5. Step 5: Solve for x
    x = 83,191.34/261.39
  6. Step 6: Final answer
    x = 318.27

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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.