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Finding the Fourth Proportional to 261.64, 360.75 and 183.03

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Solution

The fourth proportional to 261.64, 360.75 and 183.03 is: 252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.64 : 360.75 = 183.03 : x
  2. Step 2: Convert to fraction form
    261.64/360.75 = 183.03/x
  3. Step 3: Cross multiply
    261.64x = 360.75 × 183.03
  4. Step 4: Simplify right side
    261.64x = 66,028.07
  5. Step 5: Solve for x
    x = 66,028.07/261.64
  6. Step 6: Final answer
    x = 252.36

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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.