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Finding the Fourth Proportional to 257.47, 385.37 and 164.98

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Solution

The fourth proportional to 257.47, 385.37 and 164.98 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.47 : 385.37 = 164.98 : x
  2. Step 2: Convert to fraction form
    257.47/385.37 = 164.98/x
  3. Step 3: Cross multiply
    257.47x = 385.37 × 164.98
  4. Step 4: Simplify right side
    257.47x = 63,576.55
  5. Step 5: Solve for x
    x = 63,576.55/257.47
  6. Step 6: Final answer
    x = 246.93

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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.