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Finding the Fourth Proportional to 165.84, 228.94 and 113.66

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Solution

The fourth proportional to 165.84, 228.94 and 113.66 is: 156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 228.94 = 113.66 : x
  2. Step 2: Convert to fraction form
    165.84/228.94 = 113.66/x
  3. Step 3: Cross multiply
    165.84x = 228.94 × 113.66
  4. Step 4: Simplify right side
    165.84x = 26,021.32
  5. Step 5: Solve for x
    x = 26,021.32/165.84
  6. Step 6: Final answer
    x = 156.91

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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.