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Finding the Fourth Proportional to 261.68, 361.32 and 203.60

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Solution

The fourth proportional to 261.68, 361.32 and 203.60 is: 281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.68 : 361.32 = 203.60 : x
  2. Step 2: Convert to fraction form
    261.68/361.32 = 203.60/x
  3. Step 3: Cross multiply
    261.68x = 361.32 × 203.60
  4. Step 4: Simplify right side
    261.68x = 73,564.75
  5. Step 5: Solve for x
    x = 73,564.75/261.68
  6. Step 6: Final answer
    x = 281.12

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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.