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Finding the Fourth Proportional to 288.95, 433.58 and 126.65

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Solution

The fourth proportional to 288.95, 433.58 and 126.65 is: 190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.95 : 433.58 = 126.65 : x
  2. Step 2: Convert to fraction form
    288.95/433.58 = 126.65/x
  3. Step 3: Cross multiply
    288.95x = 433.58 × 126.65
  4. Step 4: Simplify right side
    288.95x = 54,910.11
  5. Step 5: Solve for x
    x = 54,910.11/288.95
  6. Step 6: Final answer
    x = 190.04

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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.