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Finding the Fourth Proportional to 259.82, 359.01 and 186.01

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Solution

The fourth proportional to 259.82, 359.01 and 186.01 is: 257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.82 : 359.01 = 186.01 : x
  2. Step 2: Convert to fraction form
    259.82/359.01 = 186.01/x
  3. Step 3: Cross multiply
    259.82x = 359.01 × 186.01
  4. Step 4: Simplify right side
    259.82x = 66,779.45
  5. Step 5: Solve for x
    x = 66,779.45/259.82
  6. Step 6: Final answer
    x = 257.02

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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.