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Finding the Fourth Proportional to 261.06, 360.32 and 186.49

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Solution

The fourth proportional to 261.06, 360.32 and 186.49 is: 257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.06 : 360.32 = 186.49 : x
  2. Step 2: Convert to fraction form
    261.06/360.32 = 186.49/x
  3. Step 3: Cross multiply
    261.06x = 360.32 × 186.49
  4. Step 4: Simplify right side
    261.06x = 67,193.57
  5. Step 5: Solve for x
    x = 67,193.57/261.06
  6. Step 6: Final answer
    x = 257.39

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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.