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Finding the Fourth Proportional to 261.19, 360.14 and 194.77

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Solution

The fourth proportional to 261.19, 360.14 and 194.77 is: 268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.19 : 360.14 = 194.77 : x
  2. Step 2: Convert to fraction form
    261.19/360.14 = 194.77/x
  3. Step 3: Cross multiply
    261.19x = 360.14 × 194.77
  4. Step 4: Simplify right side
    261.19x = 70,144.47
  5. Step 5: Solve for x
    x = 70,144.47/261.19
  6. Step 6: Final answer
    x = 268.56

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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.