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Finding the Fourth Proportional to 259.59, 357.88 and 185.78

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Solution

The fourth proportional to 259.59, 357.88 and 185.78 is: 256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.59 : 357.88 = 185.78 : x
  2. Step 2: Convert to fraction form
    259.59/357.88 = 185.78/x
  3. Step 3: Cross multiply
    259.59x = 357.88 × 185.78
  4. Step 4: Simplify right side
    259.59x = 66,486.95
  5. Step 5: Solve for x
    x = 66,486.95/259.59
  6. Step 6: Final answer
    x = 256.12

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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.