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Finding the Fourth Proportional to 259.04, 356.82 and 185.24

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Solution

The fourth proportional to 259.04, 356.82 and 185.24 is: 255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.04 : 356.82 = 185.24 : x
  2. Step 2: Convert to fraction form
    259.04/356.82 = 185.24/x
  3. Step 3: Cross multiply
    259.04x = 356.82 × 185.24
  4. Step 4: Simplify right side
    259.04x = 66,097.34
  5. Step 5: Solve for x
    x = 66,097.34/259.04
  6. Step 6: Final answer
    x = 255.16

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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.