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Finding the Fourth Proportional to 259.50, 358.92 and 248.16

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Solution

The fourth proportional to 259.50, 358.92 and 248.16 is: 343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.50 : 358.92 = 248.16 : x
  2. Step 2: Convert to fraction form
    259.50/358.92 = 248.16/x
  3. Step 3: Cross multiply
    259.50x = 358.92 × 248.16
  4. Step 4: Simplify right side
    259.50x = 89,069.59
  5. Step 5: Solve for x
    x = 89,069.59/259.50
  6. Step 6: Final answer
    x = 343.24

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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.