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Finding the Fourth Proportional to 259.10, 357.43 and 165.75

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Solution

The fourth proportional to 259.10, 357.43 and 165.75 is: 228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.10 : 357.43 = 165.75 : x
  2. Step 2: Convert to fraction form
    259.10/357.43 = 165.75/x
  3. Step 3: Cross multiply
    259.10x = 357.43 × 165.75
  4. Step 4: Simplify right side
    259.10x = 59,241.41
  5. Step 5: Solve for x
    x = 59,241.41/259.10
  6. Step 6: Final answer
    x = 228.64

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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.