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Finding the Fourth Proportional to 165.41, 228.29 and 98.99

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Solution

The fourth proportional to 165.41, 228.29 and 98.99 is: 136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.41 : 228.29 = 98.99 : x
  2. Step 2: Convert to fraction form
    165.41/228.29 = 98.99/x
  3. Step 3: Cross multiply
    165.41x = 228.29 × 98.99
  4. Step 4: Simplify right side
    165.41x = 22,597.65
  5. Step 5: Solve for x
    x = 22,597.65/165.41
  6. Step 6: Final answer
    x = 136.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.