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Finding the Fourth Proportional to 165.51, 228.65 and 130.77

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Solution

The fourth proportional to 165.51, 228.65 and 130.77 is: 180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.51 : 228.65 = 130.77 : x
  2. Step 2: Convert to fraction form
    165.51/228.65 = 130.77/x
  3. Step 3: Cross multiply
    165.51x = 228.65 × 130.77
  4. Step 4: Simplify right side
    165.51x = 29,899.91
  5. Step 5: Solve for x
    x = 29,899.91/165.51
  6. Step 6: Final answer
    x = 180.65

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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.