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Finding the Fourth Proportional to 259.03, 357.52 and 165.75

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Solution

The fourth proportional to 259.03, 357.52 and 165.75 is: 228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.03 : 357.52 = 165.75 : x
  2. Step 2: Convert to fraction form
    259.03/357.52 = 165.75/x
  3. Step 3: Cross multiply
    259.03x = 357.52 × 165.75
  4. Step 4: Simplify right side
    259.03x = 59,258.94
  5. Step 5: Solve for x
    x = 59,258.94/259.03
  6. Step 6: Final answer
    x = 228.77

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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.