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Finding the Fourth Proportional to 259.70, 357.89 and 185.89

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Solution

The fourth proportional to 259.70, 357.89 and 185.89 is: 256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.70 : 357.89 = 185.89 : x
  2. Step 2: Convert to fraction form
    259.70/357.89 = 185.89/x
  3. Step 3: Cross multiply
    259.70x = 357.89 × 185.89
  4. Step 4: Simplify right side
    259.70x = 66,526.38
  5. Step 5: Solve for x
    x = 66,526.38/259.70
  6. Step 6: Final answer
    x = 256.17

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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.