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Finding the Fourth Proportional to 257.50, 355.43 and 165.50

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Solution

The fourth proportional to 257.50, 355.43 and 165.50 is: 228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.50 : 355.43 = 165.50 : x
  2. Step 2: Convert to fraction form
    257.50/355.43 = 165.50/x
  3. Step 3: Cross multiply
    257.50x = 355.43 × 165.50
  4. Step 4: Simplify right side
    257.50x = 58,823.67
  5. Step 5: Solve for x
    x = 58,823.67/257.50
  6. Step 6: Final answer
    x = 228.44

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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.