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Finding the Fourth Proportional to 261.41, 392.06 and 76.31

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Solution

The fourth proportional to 261.41, 392.06 and 76.31 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.41 : 392.06 = 76.31 : x
  2. Step 2: Convert to fraction form
    261.41/392.06 = 76.31/x
  3. Step 3: Cross multiply
    261.41x = 392.06 × 76.31
  4. Step 4: Simplify right side
    261.41x = 29,918.98
  5. Step 5: Solve for x
    x = 29,918.98/261.41
  6. Step 6: Final answer
    x = 114.45

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Why These Related Problems?

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