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Finding the Fourth Proportional to 259.16, 357.74 and 180.48

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Solution

The fourth proportional to 259.16, 357.74 and 180.48 is: 249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.16 : 357.74 = 180.48 : x
  2. Step 2: Convert to fraction form
    259.16/357.74 = 180.48/x
  3. Step 3: Cross multiply
    259.16x = 357.74 × 180.48
  4. Step 4: Simplify right side
    259.16x = 64,564.01
  5. Step 5: Solve for x
    x = 64,564.01/259.16
  6. Step 6: Final answer
    x = 249.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.