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Finding the Fourth Proportional to 258.60, 356.76 and 165.34

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Solution

The fourth proportional to 258.60, 356.76 and 165.34 is: 228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.60 : 356.76 = 165.34 : x
  2. Step 2: Convert to fraction form
    258.60/356.76 = 165.34/x
  3. Step 3: Cross multiply
    258.60x = 356.76 × 165.34
  4. Step 4: Simplify right side
    258.60x = 58,986.70
  5. Step 5: Solve for x
    x = 58,986.70/258.60
  6. Step 6: Final answer
    x = 228.10

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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.