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Finding the Fourth Proportional to 555.67, 833.51 and 144.80

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Solution

The fourth proportional to 555.67, 833.51 and 144.80 is: 217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.67 : 833.51 = 144.80 : x
  2. Step 2: Convert to fraction form
    555.67/833.51 = 144.80/x
  3. Step 3: Cross multiply
    555.67x = 833.51 × 144.80
  4. Step 4: Simplify right side
    555.67x = 120,692.25
  5. Step 5: Solve for x
    x = 120,692.25/555.67
  6. Step 6: Final answer
    x = 217.20

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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.