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Finding the Fourth Proportional to 165.52, 228.50 and 107.34

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Solution

The fourth proportional to 165.52, 228.50 and 107.34 is: 148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.52 : 228.50 = 107.34 : x
  2. Step 2: Convert to fraction form
    165.52/228.50 = 107.34/x
  3. Step 3: Cross multiply
    165.52x = 228.50 × 107.34
  4. Step 4: Simplify right side
    165.52x = 24,527.19
  5. Step 5: Solve for x
    x = 24,527.19/165.52
  6. Step 6: Final answer
    x = 148.18

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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.