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Finding the Fourth Proportional to 155.20, 214.02 and 133.15

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Solution

The fourth proportional to 155.20, 214.02 and 133.15 is: 183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.20 : 214.02 = 133.15 : x
  2. Step 2: Convert to fraction form
    155.20/214.02 = 133.15/x
  3. Step 3: Cross multiply
    155.20x = 214.02 × 133.15
  4. Step 4: Simplify right side
    155.20x = 28,495.03
  5. Step 5: Solve for x
    x = 28,495.03/155.20
  6. Step 6: Final answer
    x = 183.60

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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.