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Finding the Fourth Proportional to 257.16, 385.37 and 102.99

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Solution

The fourth proportional to 257.16, 385.37 and 102.99 is: 154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.16 : 385.37 = 102.99 : x
  2. Step 2: Convert to fraction form
    257.16/385.37 = 102.99/x
  3. Step 3: Cross multiply
    257.16x = 385.37 × 102.99
  4. Step 4: Simplify right side
    257.16x = 39,689.26
  5. Step 5: Solve for x
    x = 39,689.26/257.16
  6. Step 6: Final answer
    x = 154.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.