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Finding the Fourth Proportional to 288.94, 433.46 and 93.94

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Solution

The fourth proportional to 288.94, 433.46 and 93.94 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.94 : 433.46 = 93.94 : x
  2. Step 2: Convert to fraction form
    288.94/433.46 = 93.94/x
  3. Step 3: Cross multiply
    288.94x = 433.46 × 93.94
  4. Step 4: Simplify right side
    288.94x = 40,719.23
  5. Step 5: Solve for x
    x = 40,719.23/288.94
  6. Step 6: Final answer
    x = 140.93

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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.