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Finding the Fourth Proportional to 215.22, 297.15 and 165.34

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Solution

The fourth proportional to 215.22, 297.15 and 165.34 is: 228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.22 : 297.15 = 165.34 : x
  2. Step 2: Convert to fraction form
    215.22/297.15 = 165.34/x
  3. Step 3: Cross multiply
    215.22x = 297.15 × 165.34
  4. Step 4: Simplify right side
    215.22x = 49,130.78
  5. Step 5: Solve for x
    x = 49,130.78/215.22
  6. Step 6: Final answer
    x = 228.28

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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.