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Finding the Fourth Proportional to 347.29, 520.93 and 141.82

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Solution

The fourth proportional to 347.29, 520.93 and 141.82 is: 212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.29 : 520.93 = 141.82 : x
  2. Step 2: Convert to fraction form
    347.29/520.93 = 141.82/x
  3. Step 3: Cross multiply
    347.29x = 520.93 × 141.82
  4. Step 4: Simplify right side
    347.29x = 73,877.17
  5. Step 5: Solve for x
    x = 73,877.17/347.29
  6. Step 6: Final answer
    x = 212.73

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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.