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Finding the Fourth Proportional to 261.24, 360.59 and 182.58

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Solution

The fourth proportional to 261.24, 360.59 and 182.58 is: 252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.24 : 360.59 = 182.58 : x
  2. Step 2: Convert to fraction form
    261.24/360.59 = 182.58/x
  3. Step 3: Cross multiply
    261.24x = 360.59 × 182.58
  4. Step 4: Simplify right side
    261.24x = 65,836.52
  5. Step 5: Solve for x
    x = 65,836.52/261.24
  6. Step 6: Final answer
    x = 252.02

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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.