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Finding the Fourth Proportional to 261.76, 360.71 and 195.45

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Solution

The fourth proportional to 261.76, 360.71 and 195.45 is: 269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.76 : 360.71 = 195.45 : x
  2. Step 2: Convert to fraction form
    261.76/360.71 = 195.45/x
  3. Step 3: Cross multiply
    261.76x = 360.71 × 195.45
  4. Step 4: Simplify right side
    261.76x = 70,499.72
  5. Step 5: Solve for x
    x = 70,499.72/261.76
  6. Step 6: Final answer
    x = 269.33

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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.