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Finding the Fourth Proportional to 264.98, 399.14 and 248.78

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Solution

The fourth proportional to 264.98, 399.14 and 248.78 is: 374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.98 : 399.14 = 248.78 : x
  2. Step 2: Convert to fraction form
    264.98/399.14 = 248.78/x
  3. Step 3: Cross multiply
    264.98x = 399.14 × 248.78
  4. Step 4: Simplify right side
    264.98x = 99,298.05
  5. Step 5: Solve for x
    x = 99,298.05/264.98
  6. Step 6: Final answer
    x = 374.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.