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Finding the Fourth Proportional to 555.30, 832.96 and 144.44

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Solution

The fourth proportional to 555.30, 832.96 and 144.44 is: 216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.30 : 832.96 = 144.44 : x
  2. Step 2: Convert to fraction form
    555.30/832.96 = 144.44/x
  3. Step 3: Cross multiply
    555.30x = 832.96 × 144.44
  4. Step 4: Simplify right side
    555.30x = 120,312.74
  5. Step 5: Solve for x
    x = 120,312.74/555.30
  6. Step 6: Final answer
    x = 216.66

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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.