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Finding the Fourth Proportional to 555.14, 832.63 and 144.30

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Solution

The fourth proportional to 555.14, 832.63 and 144.30 is: 216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.14 : 832.63 = 144.30 : x
  2. Step 2: Convert to fraction form
    555.14/832.63 = 144.30/x
  3. Step 3: Cross multiply
    555.14x = 832.63 × 144.30
  4. Step 4: Simplify right side
    555.14x = 120,147.79
  5. Step 5: Solve for x
    x = 120,147.79/555.14
  6. Step 6: Final answer
    x = 216.43

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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.