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Finding the Fourth Proportional to 351.88, 527.90 and 120.77

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Solution

The fourth proportional to 351.88, 527.90 and 120.77 is: 181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.88 : 527.90 = 120.77 : x
  2. Step 2: Convert to fraction form
    351.88/527.90 = 120.77/x
  3. Step 3: Cross multiply
    351.88x = 527.90 × 120.77
  4. Step 4: Simplify right side
    351.88x = 63,754.48
  5. Step 5: Solve for x
    x = 63,754.48/351.88
  6. Step 6: Final answer
    x = 181.18

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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.