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Finding the Fourth Proportional to 165.58, 228.35 and 125.54

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Solution

The fourth proportional to 165.58, 228.35 and 125.54 is: 173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.58 : 228.35 = 125.54 : x
  2. Step 2: Convert to fraction form
    165.58/228.35 = 125.54/x
  3. Step 3: Cross multiply
    165.58x = 228.35 × 125.54
  4. Step 4: Simplify right side
    165.58x = 28,667.06
  5. Step 5: Solve for x
    x = 28,667.06/165.58
  6. Step 6: Final answer
    x = 173.13

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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.