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Finding the Fourth Proportional to 258.42, 356.52 and 165.14

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Solution

The fourth proportional to 258.42, 356.52 and 165.14 is: 227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.42 : 356.52 = 165.14 : x
  2. Step 2: Convert to fraction form
    258.42/356.52 = 165.14/x
  3. Step 3: Cross multiply
    258.42x = 356.52 × 165.14
  4. Step 4: Simplify right side
    258.42x = 58,875.71
  5. Step 5: Solve for x
    x = 58,875.71/258.42
  6. Step 6: Final answer
    x = 227.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.