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Finding the Fourth Proportional to 165.37, 228.23 and 130.51

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Solution

The fourth proportional to 165.37, 228.23 and 130.51 is: 180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.37 : 228.23 = 130.51 : x
  2. Step 2: Convert to fraction form
    165.37/228.23 = 130.51/x
  3. Step 3: Cross multiply
    165.37x = 228.23 × 130.51
  4. Step 4: Simplify right side
    165.37x = 29,785.64
  5. Step 5: Solve for x
    x = 29,785.64/165.37
  6. Step 6: Final answer
    x = 180.12

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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.