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Finding the Fourth Proportional to 261.05, 360.18 and 186.44

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Solution

The fourth proportional to 261.05, 360.18 and 186.44 is: 257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.05 : 360.18 = 186.44 : x
  2. Step 2: Convert to fraction form
    261.05/360.18 = 186.44/x
  3. Step 3: Cross multiply
    261.05x = 360.18 × 186.44
  4. Step 4: Simplify right side
    261.05x = 67,150.16
  5. Step 5: Solve for x
    x = 67,150.16/261.05
  6. Step 6: Final answer
    x = 257.24

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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.