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Finding the Fourth Proportional to 165.86, 229.08 and 110.50

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Solution

The fourth proportional to 165.86, 229.08 and 110.50 is: 152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.86 : 229.08 = 110.50 : x
  2. Step 2: Convert to fraction form
    165.86/229.08 = 110.50/x
  3. Step 3: Cross multiply
    165.86x = 229.08 × 110.50
  4. Step 4: Simplify right side
    165.86x = 25,313.34
  5. Step 5: Solve for x
    x = 25,313.34/165.86
  6. Step 6: Final answer
    x = 152.62

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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.