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Finding the Fourth Proportional to 155.76, 232.55 and 137.30

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Solution

The fourth proportional to 155.76, 232.55 and 137.30 is: 204.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.76 : 232.55 = 137.30 : x
  2. Step 2: Convert to fraction form
    155.76/232.55 = 137.30/x
  3. Step 3: Cross multiply
    155.76x = 232.55 × 137.30
  4. Step 4: Simplify right side
    155.76x = 31,928.43
  5. Step 5: Solve for x
    x = 31,928.43/155.76
  6. Step 6: Final answer
    x = 204.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.