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Finding the Fourth Proportional to 261.99, 361.60 and 151.46

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Solution

The fourth proportional to 261.99, 361.60 and 151.46 is: 209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.99 : 361.60 = 151.46 : x
  2. Step 2: Convert to fraction form
    261.99/361.60 = 151.46/x
  3. Step 3: Cross multiply
    261.99x = 361.60 × 151.46
  4. Step 4: Simplify right side
    261.99x = 54,767.11
  5. Step 5: Solve for x
    x = 54,767.11/261.99
  6. Step 6: Final answer
    x = 209.04

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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.