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Finding the Fourth Proportional to 291.56, 402.34 and 165.52

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Solution

The fourth proportional to 291.56, 402.34 and 165.52 is: 228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.56 : 402.34 = 165.52 : x
  2. Step 2: Convert to fraction form
    291.56/402.34 = 165.52/x
  3. Step 3: Cross multiply
    291.56x = 402.34 × 165.52
  4. Step 4: Simplify right side
    291.56x = 66,595.32
  5. Step 5: Solve for x
    x = 66,595.32/291.56
  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.