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Finding the Fourth Proportional to 165.74, 228.51 and 136.13

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Solution

The fourth proportional to 165.74, 228.51 and 136.13 is: 187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.74 : 228.51 = 136.13 : x
  2. Step 2: Convert to fraction form
    165.74/228.51 = 136.13/x
  3. Step 3: Cross multiply
    165.74x = 228.51 × 136.13
  4. Step 4: Simplify right side
    165.74x = 31,105.92
  5. Step 5: Solve for x
    x = 31,105.92/165.74
  6. Step 6: Final answer
    x = 187.68

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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.