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Finding the Fourth Proportional to 257.76, 386.32 and 161.60

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Solution

The fourth proportional to 257.76, 386.32 and 161.60 is: 242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.76 : 386.32 = 161.60 : x
  2. Step 2: Convert to fraction form
    257.76/386.32 = 161.60/x
  3. Step 3: Cross multiply
    257.76x = 386.32 × 161.60
  4. Step 4: Simplify right side
    257.76x = 62,429.31
  5. Step 5: Solve for x
    x = 62,429.31/257.76
  6. Step 6: Final answer
    x = 242.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.