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Finding the Fourth Proportional to 250.66, 376.14 and 96.59

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Solution

The fourth proportional to 250.66, 376.14 and 96.59 is: 144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.66 : 376.14 = 96.59 : x
  2. Step 2: Convert to fraction form
    250.66/376.14 = 96.59/x
  3. Step 3: Cross multiply
    250.66x = 376.14 × 96.59
  4. Step 4: Simplify right side
    250.66x = 36,332.67
  5. Step 5: Solve for x
    x = 36,332.67/250.66
  6. Step 6: Final answer
    x = 144.95

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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.