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Finding the Fourth Proportional to 165.64, 228.45 and 116.50

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Solution

The fourth proportional to 165.64, 228.45 and 116.50 is: 160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.64 : 228.45 = 116.50 : x
  2. Step 2: Convert to fraction form
    165.64/228.45 = 116.50/x
  3. Step 3: Cross multiply
    165.64x = 228.45 × 116.50
  4. Step 4: Simplify right side
    165.64x = 26,614.43
  5. Step 5: Solve for x
    x = 26,614.43/165.64
  6. Step 6: Final answer
    x = 160.68

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Why These Related Problems?

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