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Finding the Fourth Proportional to 347.81, 521.82 and 116.70

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Solution

The fourth proportional to 347.81, 521.82 and 116.70 is: 175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.81 : 521.82 = 116.70 : x
  2. Step 2: Convert to fraction form
    347.81/521.82 = 116.70/x
  3. Step 3: Cross multiply
    347.81x = 521.82 × 116.70
  4. Step 4: Simplify right side
    347.81x = 60,896.39
  5. Step 5: Solve for x
    x = 60,896.39/347.81
  6. Step 6: Final answer
    x = 175.09

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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.