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Finding the Fourth Proportional to 352.02, 527.91 and 120.87

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Solution

The fourth proportional to 352.02, 527.91 and 120.87 is: 181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.02 : 527.91 = 120.87 : x
  2. Step 2: Convert to fraction form
    352.02/527.91 = 120.87/x
  3. Step 3: Cross multiply
    352.02x = 527.91 × 120.87
  4. Step 4: Simplify right side
    352.02x = 63,808.48
  5. Step 5: Solve for x
    x = 63,808.48/352.02
  6. Step 6: Final answer
    x = 181.26

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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.