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Finding the Fourth Proportional to 258.15, 356.14 and 164.87

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Solution

The fourth proportional to 258.15, 356.14 and 164.87 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.15 : 356.14 = 164.87 : x
  2. Step 2: Convert to fraction form
    258.15/356.14 = 164.87/x
  3. Step 3: Cross multiply
    258.15x = 356.14 × 164.87
  4. Step 4: Simplify right side
    258.15x = 58,715.02
  5. Step 5: Solve for x
    x = 58,715.02/258.15
  6. Step 6: Final answer
    x = 227.45

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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.