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Finding the Fourth Proportional to 261.13, 360.24 and 183.55

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Solution

The fourth proportional to 261.13, 360.24 and 183.55 is: 253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.13 : 360.24 = 183.55 : x
  2. Step 2: Convert to fraction form
    261.13/360.24 = 183.55/x
  3. Step 3: Cross multiply
    261.13x = 360.24 × 183.55
  4. Step 4: Simplify right side
    261.13x = 66,122.05
  5. Step 5: Solve for x
    x = 66,122.05/261.13
  6. Step 6: Final answer
    x = 253.22

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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.