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Finding the Fourth Proportional to 515.20, 772.82 and 145.02

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Solution

The fourth proportional to 515.20, 772.82 and 145.02 is: 217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.20 : 772.82 = 145.02 : x
  2. Step 2: Convert to fraction form
    515.20/772.82 = 145.02/x
  3. Step 3: Cross multiply
    515.20x = 772.82 × 145.02
  4. Step 4: Simplify right side
    515.20x = 112,075.04
  5. Step 5: Solve for x
    x = 112,075.04/515.20
  6. Step 6: Final answer
    x = 217.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.