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Finding the Fourth Proportional to 258.83, 357 and 165.60

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Solution

The fourth proportional to 258.83, 357 and 165.60 is: 228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.83 : 357 = 165.60 : x
  2. Step 2: Convert to fraction form
    258.83/357 = 165.60/x
  3. Step 3: Cross multiply
    258.83x = 357 × 165.60
  4. Step 4: Simplify right side
    258.83x = 59,119.20
  5. Step 5: Solve for x
    x = 59,119.20/258.83
  6. Step 6: Final answer
    x = 228.41

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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.