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Finding the Fourth Proportional to 351.64, 527.03 and 156.22

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Solution

The fourth proportional to 351.64, 527.03 and 156.22 is: 234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.64 : 527.03 = 156.22 : x
  2. Step 2: Convert to fraction form
    351.64/527.03 = 156.22/x
  3. Step 3: Cross multiply
    351.64x = 527.03 × 156.22
  4. Step 4: Simplify right side
    351.64x = 82,332.63
  5. Step 5: Solve for x
    x = 82,332.63/351.64
  6. Step 6: Final answer
    x = 234.14

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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.