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Finding the Fourth Proportional to 261.69, 392.02 and 179.41

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Solution

The fourth proportional to 261.69, 392.02 and 179.41 is: 268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.69 : 392.02 = 179.41 : x
  2. Step 2: Convert to fraction form
    261.69/392.02 = 179.41/x
  3. Step 3: Cross multiply
    261.69x = 392.02 × 179.41
  4. Step 4: Simplify right side
    261.69x = 70,331.41
  5. Step 5: Solve for x
    x = 70,331.41/261.69
  6. Step 6: Final answer
    x = 268.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.