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Finding the Fourth Proportional to 261.66, 361.08 and 145.24

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Solution

The fourth proportional to 261.66, 361.08 and 145.24 is: 200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.66 : 361.08 = 145.24 : x
  2. Step 2: Convert to fraction form
    261.66/361.08 = 145.24/x
  3. Step 3: Cross multiply
    261.66x = 361.08 × 145.24
  4. Step 4: Simplify right side
    261.66x = 52,443.26
  5. Step 5: Solve for x
    x = 52,443.26/261.66
  6. Step 6: Final answer
    x = 200.43

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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.