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Finding the Fourth Proportional to 261.47, 360.72 and 182.70

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Solution

The fourth proportional to 261.47, 360.72 and 182.70 is: 252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.47 : 360.72 = 182.70 : x
  2. Step 2: Convert to fraction form
    261.47/360.72 = 182.70/x
  3. Step 3: Cross multiply
    261.47x = 360.72 × 182.70
  4. Step 4: Simplify right side
    261.47x = 65,903.54
  5. Step 5: Solve for x
    x = 65,903.54/261.47
  6. Step 6: Final answer
    x = 252.05

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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.