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Finding the Fourth Proportional to 288.66, 432.98 and 105.97

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Solution

The fourth proportional to 288.66, 432.98 and 105.97 is: 158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.66 : 432.98 = 105.97 : x
  2. Step 2: Convert to fraction form
    288.66/432.98 = 105.97/x
  3. Step 3: Cross multiply
    288.66x = 432.98 × 105.97
  4. Step 4: Simplify right side
    288.66x = 45,883.16
  5. Step 5: Solve for x
    x = 45,883.16/288.66
  6. Step 6: Final answer
    x = 158.96

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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.