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Finding the Fourth Proportional to 259.20, 357.64 and 165.89

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Solution

The fourth proportional to 259.20, 357.64 and 165.89 is: 228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.20 : 357.64 = 165.89 : x
  2. Step 2: Convert to fraction form
    259.20/357.64 = 165.89/x
  3. Step 3: Cross multiply
    259.20x = 357.64 × 165.89
  4. Step 4: Simplify right side
    259.20x = 59,329.38
  5. Step 5: Solve for x
    x = 59,329.38/259.20
  6. Step 6: Final answer
    x = 228.89

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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.