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Finding the Fourth Proportional to 155.88, 234.62 and 117.57

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Solution

The fourth proportional to 155.88, 234.62 and 117.57 is: 176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.88 : 234.62 = 117.57 : x
  2. Step 2: Convert to fraction form
    155.88/234.62 = 117.57/x
  3. Step 3: Cross multiply
    155.88x = 234.62 × 117.57
  4. Step 4: Simplify right side
    155.88x = 27,583.69
  5. Step 5: Solve for x
    x = 27,583.69/155.88
  6. Step 6: Final answer
    x = 176.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.