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Finding the Fourth Proportional to 261.19, 361.22 and 233.51

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Solution

The fourth proportional to 261.19, 361.22 and 233.51 is: 322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.19 : 361.22 = 233.51 : x
  2. Step 2: Convert to fraction form
    261.19/361.22 = 233.51/x
  3. Step 3: Cross multiply
    261.19x = 361.22 × 233.51
  4. Step 4: Simplify right side
    261.19x = 84,348.22
  5. Step 5: Solve for x
    x = 84,348.22/261.19
  6. Step 6: Final answer
    x = 322.94

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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.