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Finding the Fourth Proportional to 155.56, 214.82 and 145.75

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Solution

The fourth proportional to 155.56, 214.82 and 145.75 is: 201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.56 : 214.82 = 145.75 : x
  2. Step 2: Convert to fraction form
    155.56/214.82 = 145.75/x
  3. Step 3: Cross multiply
    155.56x = 214.82 × 145.75
  4. Step 4: Simplify right side
    155.56x = 31,310.02
  5. Step 5: Solve for x
    x = 31,310.02/155.56
  6. Step 6: Final answer
    x = 201.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.