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Finding the Fourth Proportional to 261.76, 361.20 and 188.23

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Solution

The fourth proportional to 261.76, 361.20 and 188.23 is: 259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.76 : 361.20 = 188.23 : x
  2. Step 2: Convert to fraction form
    261.76/361.20 = 188.23/x
  3. Step 3: Cross multiply
    261.76x = 361.20 × 188.23
  4. Step 4: Simplify right side
    261.76x = 67,988.68
  5. Step 5: Solve for x
    x = 67,988.68/261.76
  6. Step 6: Final answer
    x = 259.74

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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.