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Finding the Fourth Proportional to 257.86, 353.54 and 253.24

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Solution

The fourth proportional to 257.86, 353.54 and 253.24 is: 347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.86 : 353.54 = 253.24 : x
  2. Step 2: Convert to fraction form
    257.86/353.54 = 253.24/x
  3. Step 3: Cross multiply
    257.86x = 353.54 × 253.24
  4. Step 4: Simplify right side
    257.86x = 89,530.47
  5. Step 5: Solve for x
    x = 89,530.47/257.86
  6. Step 6: Final answer
    x = 347.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.