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Finding the Fourth Proportional to 155.94, 233.49 and 139.74

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Solution

The fourth proportional to 155.94, 233.49 and 139.74 is: 209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.94 : 233.49 = 139.74 : x
  2. Step 2: Convert to fraction form
    155.94/233.49 = 139.74/x
  3. Step 3: Cross multiply
    155.94x = 233.49 × 139.74
  4. Step 4: Simplify right side
    155.94x = 32,627.89
  5. Step 5: Solve for x
    x = 32,627.89/155.94
  6. Step 6: Final answer
    x = 209.23

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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.