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Finding the Fourth Proportional to 291.94, 437.96 and 96.89

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Solution

The fourth proportional to 291.94, 437.96 and 96.89 is: 145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.94 : 437.96 = 96.89 : x
  2. Step 2: Convert to fraction form
    291.94/437.96 = 96.89/x
  3. Step 3: Cross multiply
    291.94x = 437.96 × 96.89
  4. Step 4: Simplify right side
    291.94x = 42,433.94
  5. Step 5: Solve for x
    x = 42,433.94/291.94
  6. Step 6: Final answer
    x = 145.35

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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.