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Finding the Fourth Proportional to 261.64, 361.02 and 158.14

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Solution

The fourth proportional to 261.64, 361.02 and 158.14 is: 218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.64 : 361.02 = 158.14 : x
  2. Step 2: Convert to fraction form
    261.64/361.02 = 158.14/x
  3. Step 3: Cross multiply
    261.64x = 361.02 × 158.14
  4. Step 4: Simplify right side
    261.64x = 57,091.70
  5. Step 5: Solve for x
    x = 57,091.70/261.64
  6. Step 6: Final answer
    x = 218.21

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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.