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Finding the Fourth Proportional to 259.16, 357.70 and 165.99

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Solution

The fourth proportional to 259.16, 357.70 and 165.99 is: 229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.16 : 357.70 = 165.99 : x
  2. Step 2: Convert to fraction form
    259.16/357.70 = 165.99/x
  3. Step 3: Cross multiply
    259.16x = 357.70 × 165.99
  4. Step 4: Simplify right side
    259.16x = 59,374.62
  5. Step 5: Solve for x
    x = 59,374.62/259.16
  6. Step 6: Final answer
    x = 229.10

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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.